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Simplifying 2x + -7 + 8x + -6 + 0.2x + -5 + 0.04x + -4 + 0.06x + -3 + 0.254x + -2 + 0.01x + -1 + -2 = 0 Reorder the terms: -7 + -6 + -5 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -7 + -6 = -13 -13 + -5 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -13 + -5 = -18 -18 + -4 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -18 + -4 = -22 -22 + -3 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -22 + -3 = -25 -25 + -2 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -25 + -2 = -27 -27 + -1 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -27 + -1 = -28 -28 + -2 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: -28 + -2 = -30 -30 + 2x + 8x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: 2x + 8x = 10x -30 + 10x + 0.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: 10x + 0.2x = 10.2x -30 + 10.2x + 0.04x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: 10.2x + 0.04x = 10.24x -30 + 10.24x + 0.06x + 0.254x + 0.01x = 0 Combine like terms: 10.24x + 0.06x = 10.3x -30 + 10.3x + 0.254x + 0.01x = 0 Combine like terms: 10.3x + 0.254x = 10.554x -30 + 10.554x + 0.01x = 0 Combine like terms: 10.554x + 0.01x = 10.564x -30 + 10.564x = 0 Solving -30 + 10.564x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10.564x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10.564x = 0 + 30 10.564x = 0 + 30 Combine like terms: 0 + 30 = 30 10.564x = 30 Divide each side by '10.564'. x = 2.839833396 Simplifying x = 2.839833396
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