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Simplifying -3(x + -1) + 4 = 6(x + 1) + -5 Reorder the terms: -3(-1 + x) + 4 = 6(x + 1) + -5 (-1 * -3 + x * -3) + 4 = 6(x + 1) + -5 (3 + -3x) + 4 = 6(x + 1) + -5 Reorder the terms: 3 + 4 + -3x = 6(x + 1) + -5 Combine like terms: 3 + 4 = 7 7 + -3x = 6(x + 1) + -5 Reorder the terms: 7 + -3x = 6(1 + x) + -5 7 + -3x = (1 * 6 + x * 6) + -5 7 + -3x = (6 + 6x) + -5 Reorder the terms: 7 + -3x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 7 + -3x = 1 + 6x Solving 7 + -3x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -3x + -6x = 1 + 6x + -6x Combine like terms: -3x + -6x = -9x 7 + -9x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -9x = 1 + 0 7 + -9x = 1 Add '-7' to each side of the equation. 7 + -7 + -9x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 1 + -7 -9x = 1 + -7 Combine like terms: 1 + -7 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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