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Simplifying x + -3(x + -6) = 5(x + 1) + -7 Reorder the terms: x + -3(-6 + x) = 5(x + 1) + -7 x + (-6 * -3 + x * -3) = 5(x + 1) + -7 x + (18 + -3x) = 5(x + 1) + -7 Reorder the terms: 18 + x + -3x = 5(x + 1) + -7 Combine like terms: x + -3x = -2x 18 + -2x = 5(x + 1) + -7 Reorder the terms: 18 + -2x = 5(1 + x) + -7 18 + -2x = (1 * 5 + x * 5) + -7 18 + -2x = (5 + 5x) + -7 Reorder the terms: 18 + -2x = 5 + -7 + 5x Combine like terms: 5 + -7 = -2 18 + -2x = -2 + 5x Solving 18 + -2x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -2x + -5x = -2 + 5x + -5x Combine like terms: -2x + -5x = -7x 18 + -7x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -7x = -2 + 0 18 + -7x = -2 Add '-18' to each side of the equation. 18 + -18 + -7x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -2 + -18 -7x = -2 + -18 Combine like terms: -2 + -18 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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