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Simplifying 5(2x + 3) + -1(3x + -8) = 2(4x + -5) Reorder the terms: 5(3 + 2x) + -1(3x + -8) = 2(4x + -5) (3 * 5 + 2x * 5) + -1(3x + -8) = 2(4x + -5) (15 + 10x) + -1(3x + -8) = 2(4x + -5) Reorder the terms: 15 + 10x + -1(-8 + 3x) = 2(4x + -5) 15 + 10x + (-8 * -1 + 3x * -1) = 2(4x + -5) 15 + 10x + (8 + -3x) = 2(4x + -5) Reorder the terms: 15 + 8 + 10x + -3x = 2(4x + -5) Combine like terms: 15 + 8 = 23 23 + 10x + -3x = 2(4x + -5) Combine like terms: 10x + -3x = 7x 23 + 7x = 2(4x + -5) Reorder the terms: 23 + 7x = 2(-5 + 4x) 23 + 7x = (-5 * 2 + 4x * 2) 23 + 7x = (-10 + 8x) Solving 23 + 7x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + 7x + -8x = -10 + 8x + -8x Combine like terms: 7x + -8x = -1x 23 + -1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -1x = -10 + 0 23 + -1x = -10 Add '-23' to each side of the equation. 23 + -23 + -1x = -10 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = -10 + -23 -1x = -10 + -23 Combine like terms: -10 + -23 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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