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Simplifying 3(x + 5) = 2[x + -1(7 + -1x)] Reorder the terms: 3(5 + x) = 2[x + -1(7 + -1x)] (5 * 3 + x * 3) = 2[x + -1(7 + -1x)] (15 + 3x) = 2[x + -1(7 + -1x)] 15 + 3x = 2[x + (7 * -1 + -1x * -1)] 15 + 3x = 2[x + (-7 + 1x)] Reorder the terms: 15 + 3x = 2[-7 + x + 1x] Combine like terms: x + 1x = 2x 15 + 3x = 2[-7 + 2x] 15 + 3x = [-7 * 2 + 2x * 2] 15 + 3x = [-14 + 4x] Solving 15 + 3x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 3x + -4x = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = -14 + 0 15 + -1x = -14 Add '-15' to each side of the equation. 15 + -15 + -1x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -14 + -15 -1x = -14 + -15 Combine like terms: -14 + -15 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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