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Simplifying 0.6x + -5(0.3x + 0.2) = 0.5(x + -1) + -0.8 Reorder the terms: 0.6x + -5(0.2 + 0.3x) = 0.5(x + -1) + -0.8 0.6x + (0.2 * -5 + 0.3x * -5) = 0.5(x + -1) + -0.8 0.6x + (-1 + -1.5x) = 0.5(x + -1) + -0.8 Reorder the terms: -1 + 0.6x + -1.5x = 0.5(x + -1) + -0.8 Combine like terms: 0.6x + -1.5x = -0.9x -1 + -0.9x = 0.5(x + -1) + -0.8 Reorder the terms: -1 + -0.9x = 0.5(-1 + x) + -0.8 -1 + -0.9x = (-1 * 0.5 + x * 0.5) + -0.8 -1 + -0.9x = (-0.5 + 0.5x) + -0.8 Reorder the terms: -1 + -0.9x = -0.5 + -0.8 + 0.5x Combine like terms: -0.5 + -0.8 = -1.3 -1 + -0.9x = -1.3 + 0.5x Solving -1 + -0.9x = -1.3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1 + -0.9x + -0.5x = -1.3 + 0.5x + -0.5x Combine like terms: -0.9x + -0.5x = -1.4x -1 + -1.4x = -1.3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + -1.4x = -1.3 + 0.0 -1 + -1.4x = -1.3 Add '1' to each side of the equation. -1 + 1 + -1.4x = -1.3 + 1 Combine like terms: -1 + 1 = 0 0 + -1.4x = -1.3 + 1 -1.4x = -1.3 + 1 Combine like terms: -1.3 + 1 = -0.3 -1.4x = -0.3 Divide each side by '-1.4'. x = 0.2142857143 Simplifying x = 0.2142857143
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