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Simplifying 2(3x + -5) + -4x + 5 = 5(2x + 3) + -8 Reorder the terms: 2(-5 + 3x) + -4x + 5 = 5(2x + 3) + -8 (-5 * 2 + 3x * 2) + -4x + 5 = 5(2x + 3) + -8 (-10 + 6x) + -4x + 5 = 5(2x + 3) + -8 Reorder the terms: -10 + 5 + 6x + -4x = 5(2x + 3) + -8 Combine like terms: -10 + 5 = -5 -5 + 6x + -4x = 5(2x + 3) + -8 Combine like terms: 6x + -4x = 2x -5 + 2x = 5(2x + 3) + -8 Reorder the terms: -5 + 2x = 5(3 + 2x) + -8 -5 + 2x = (3 * 5 + 2x * 5) + -8 -5 + 2x = (15 + 10x) + -8 Reorder the terms: -5 + 2x = 15 + -8 + 10x Combine like terms: 15 + -8 = 7 -5 + 2x = 7 + 10x Solving -5 + 2x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 2x + -10x = 7 + 10x + -10x Combine like terms: 2x + -10x = -8x -5 + -8x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -8x = 7 + 0 -5 + -8x = 7 Add '5' to each side of the equation. -5 + 5 + -8x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 7 + 5 -8x = 7 + 5 Combine like terms: 7 + 5 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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