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Simplifying 5(x + 3) = 3[x + -1(2 + -1x)] Reorder the terms: 5(3 + x) = 3[x + -1(2 + -1x)] (3 * 5 + x * 5) = 3[x + -1(2 + -1x)] (15 + 5x) = 3[x + -1(2 + -1x)] 15 + 5x = 3[x + (2 * -1 + -1x * -1)] 15 + 5x = 3[x + (-2 + 1x)] Reorder the terms: 15 + 5x = 3[-2 + x + 1x] Combine like terms: x + 1x = 2x 15 + 5x = 3[-2 + 2x] 15 + 5x = [-2 * 3 + 2x * 3] 15 + 5x = [-6 + 6x] Solving 15 + 5x = -6 + 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. 15 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = -6 + 0 15 + -1x = -6 Add '-15' to each side of the equation. 15 + -15 + -1x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -6 + -15 -1x = -6 + -15 Combine like terms: -6 + -15 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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