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Simplifying 5 + 4[x + -1] = 3[2 + x] Reorder the terms: 5 + 4[-1 + x] = 3[2 + x] 5 + [-1 * 4 + x * 4] = 3[2 + x] 5 + [-4 + 4x] = 3[2 + x] Combine like terms: 5 + -4 = 1 1 + 4x = 3[2 + x] 1 + 4x = [2 * 3 + x * 3] 1 + 4x = [6 + 3x] Solving 1 + 4x = 6 + 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. 1 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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