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Simplifying 4(x + 3) + 5 = 3(2x + -8) + -2 Reorder the terms: 4(3 + x) + 5 = 3(2x + -8) + -2 (3 * 4 + x * 4) + 5 = 3(2x + -8) + -2 (12 + 4x) + 5 = 3(2x + -8) + -2 Reorder the terms: 12 + 5 + 4x = 3(2x + -8) + -2 Combine like terms: 12 + 5 = 17 17 + 4x = 3(2x + -8) + -2 Reorder the terms: 17 + 4x = 3(-8 + 2x) + -2 17 + 4x = (-8 * 3 + 2x * 3) + -2 17 + 4x = (-24 + 6x) + -2 Reorder the terms: 17 + 4x = -24 + -2 + 6x Combine like terms: -24 + -2 = -26 17 + 4x = -26 + 6x Solving 17 + 4x = -26 + 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 + 4x + -6x = -26 + 6x + -6x Combine like terms: 4x + -6x = -2x 17 + -2x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -2x = -26 + 0 17 + -2x = -26 Add '-17' to each side of the equation. 17 + -17 + -2x = -26 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -26 + -17 -2x = -26 + -17 Combine like terms: -26 + -17 = -43 -2x = -43 Divide each side by '-2'. x = 21.5 Simplifying x = 21.5
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