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Simplifying 4[x + -2] = 3[15 + x] Reorder the terms: 4[-2 + x] = 3[15 + x] [-2 * 4 + x * 4] = 3[15 + x] [-8 + 4x] = 3[15 + x] -8 + 4x = [15 * 3 + x * 3] -8 + 4x = [45 + 3x] Solving -8 + 4x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 4x + -3x = 45 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = 45 + 0 -8 + 1x = 45 Add '8' to each side of the equation. -8 + 8 + 1x = 45 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 45 + 8 1x = 45 + 8 Combine like terms: 45 + 8 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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