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Simplifying 4(3 + -2x) + 5 = -2(3x + -5) + 3 (3 * 4 + -2x * 4) + 5 = -2(3x + -5) + 3 (12 + -8x) + 5 = -2(3x + -5) + 3 Reorder the terms: 12 + 5 + -8x = -2(3x + -5) + 3 Combine like terms: 12 + 5 = 17 17 + -8x = -2(3x + -5) + 3 Reorder the terms: 17 + -8x = -2(-5 + 3x) + 3 17 + -8x = (-5 * -2 + 3x * -2) + 3 17 + -8x = (10 + -6x) + 3 Reorder the terms: 17 + -8x = 10 + 3 + -6x Combine like terms: 10 + 3 = 13 17 + -8x = 13 + -6x Solving 17 + -8x = 13 + -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. 17 + -8x + 6x = 13 + -6x + 6x Combine like terms: -8x + 6x = -2x 17 + -2x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + -2x = 13 + 0 17 + -2x = 13 Add '-17' to each side of the equation. 17 + -17 + -2x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 13 + -17 -2x = 13 + -17 Combine like terms: 13 + -17 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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