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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 = 1 1 + -3x = 6(x + 1) + -5 Reorder the terms: 1 + -3x = 6(1 + x) + -5 1 + -3x = (1 * 6 + x * 6) + -5 1 + -3x = (6 + 6x) + -5 Reorder the terms: 1 + -3x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 1 + -3x = 1 + 6x Add '-1' to each side of the equation. 1 + -1 + -3x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 0 + -3x = 1 + -1 + 6x -3x = 1 + -1 + 6x Combine like terms: 1 + -1 = 0 -3x = 0 + 6x -3x = 6x Solving -3x = 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. -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x -9x = 6x + -6x Combine like terms: 6x + -6x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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