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Simplifying 4(x + 2) = 3[x + -1(3 + -1x)] Reorder the terms: 4(2 + x) = 3[x + -1(3 + -1x)] (2 * 4 + x * 4) = 3[x + -1(3 + -1x)] (8 + 4x) = 3[x + -1(3 + -1x)] 8 + 4x = 3[x + (3 * -1 + -1x * -1)] 8 + 4x = 3[x + (-3 + 1x)] Reorder the terms: 8 + 4x = 3[-3 + x + 1x] Combine like terms: x + 1x = 2x 8 + 4x = 3[-3 + 2x] 8 + 4x = [-3 * 3 + 2x * 3] 8 + 4x = [-9 + 6x] Solving 8 + 4x = -9 + 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. 8 + 4x + -6x = -9 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -9 + 0 8 + -2x = -9 Add '-8' to each side of the equation. 8 + -8 + -2x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -9 + -8 -2x = -9 + -8 Combine like terms: -9 + -8 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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