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Simplifying (3 + -2x) * 5 + 1 = -2(3x + 7) + 2 Reorder the terms for easier multiplication: 5(3 + -2x) + 1 = -2(3x + 7) + 2 (3 * 5 + -2x * 5) + 1 = -2(3x + 7) + 2 (15 + -10x) + 1 = -2(3x + 7) + 2 Reorder the terms: 15 + 1 + -10x = -2(3x + 7) + 2 Combine like terms: 15 + 1 = 16 16 + -10x = -2(3x + 7) + 2 Reorder the terms: 16 + -10x = -2(7 + 3x) + 2 16 + -10x = (7 * -2 + 3x * -2) + 2 16 + -10x = (-14 + -6x) + 2 Reorder the terms: 16 + -10x = -14 + 2 + -6x Combine like terms: -14 + 2 = -12 16 + -10x = -12 + -6x Solving 16 + -10x = -12 + -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. 16 + -10x + 6x = -12 + -6x + 6x Combine like terms: -10x + 6x = -4x 16 + -4x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + -4x = -12 + 0 16 + -4x = -12 Add '-16' to each side of the equation. 16 + -16 + -4x = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -12 + -16 -4x = -12 + -16 Combine like terms: -12 + -16 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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