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Simplifying -4[x + 1] + 3[x + 2] = 0 Reorder the terms: -4[1 + x] + 3[x + 2] = 0 [1 * -4 + x * -4] + 3[x + 2] = 0 [-4 + -4x] + 3[x + 2] = 0 Reorder the terms: -4 + -4x + 3[2 + x] = 0 -4 + -4x + [2 * 3 + x * 3] = 0 -4 + -4x + [6 + 3x] = 0 Reorder the terms: -4 + 6 + -4x + 3x = 0 Combine like terms: -4 + 6 = 2 2 + -4x + 3x = 0 Combine like terms: -4x + 3x = -1x 2 + -1x = 0 Solving 2 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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