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Simplifying 0.01(x + 7) + -0.7 = 0.1(8x + 7) Reorder the terms: 0.01(7 + x) + -0.7 = 0.1(8x + 7) (7 * 0.01 + x * 0.01) + -0.7 = 0.1(8x + 7) (0.07 + 0.01x) + -0.7 = 0.1(8x + 7) Reorder the terms: 0.07 + -0.7 + 0.01x = 0.1(8x + 7) Combine like terms: 0.07 + -0.7 = -0.63 -0.63 + 0.01x = 0.1(8x + 7) Reorder the terms: -0.63 + 0.01x = 0.1(7 + 8x) -0.63 + 0.01x = (7 * 0.1 + 8x * 0.1) -0.63 + 0.01x = (0.7 + 0.8x) Solving -0.63 + 0.01x = 0.7 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.63 + 0.01x + -0.8x = 0.7 + 0.8x + -0.8x Combine like terms: 0.01x + -0.8x = -0.79x -0.63 + -0.79x = 0.7 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.63 + -0.79x = 0.7 + 0.0 -0.63 + -0.79x = 0.7 Add '0.63' to each side of the equation. -0.63 + 0.63 + -0.79x = 0.7 + 0.63 Combine like terms: -0.63 + 0.63 = 0.00 0.00 + -0.79x = 0.7 + 0.63 -0.79x = 0.7 + 0.63 Combine like terms: 0.7 + 0.63 = 1.33 -0.79x = 1.33 Divide each side by '-0.79'. x = -1.683544304 Simplifying x = -1.683544304
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