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Simplifying (3 + -2x) * 5 + 1 = -2(3x + 7) + 2x Reorder the terms for easier multiplication: 5(3 + -2x) + 1 = -2(3x + 7) + 2x (3 * 5 + -2x * 5) + 1 = -2(3x + 7) + 2x (15 + -10x) + 1 = -2(3x + 7) + 2x Reorder the terms: 15 + 1 + -10x = -2(3x + 7) + 2x Combine like terms: 15 + 1 = 16 16 + -10x = -2(3x + 7) + 2x Reorder the terms: 16 + -10x = -2(7 + 3x) + 2x 16 + -10x = (7 * -2 + 3x * -2) + 2x 16 + -10x = (-14 + -6x) + 2x Combine like terms: -6x + 2x = -4x 16 + -10x = -14 + -4x Solving 16 + -10x = -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. 16 + -10x + 4x = -14 + -4x + 4x Combine like terms: -10x + 4x = -6x 16 + -6x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + -6x = -14 + 0 16 + -6x = -14 Add '-16' to each side of the equation. 16 + -16 + -6x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -14 + -16 -6x = -14 + -16 Combine like terms: -14 + -16 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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