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