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Simplifying 5x + -2(4x + -5) = 3x + -4(2x + 3) Reorder the terms: 5x + -2(-5 + 4x) = 3x + -4(2x + 3) 5x + (-5 * -2 + 4x * -2) = 3x + -4(2x + 3) 5x + (10 + -8x) = 3x + -4(2x + 3) Reorder the terms: 10 + 5x + -8x = 3x + -4(2x + 3) Combine like terms: 5x + -8x = -3x 10 + -3x = 3x + -4(2x + 3) Reorder the terms: 10 + -3x = 3x + -4(3 + 2x) 10 + -3x = 3x + (3 * -4 + 2x * -4) 10 + -3x = 3x + (-12 + -8x) Reorder the terms: 10 + -3x = -12 + 3x + -8x Combine like terms: 3x + -8x = -5x 10 + -3x = -12 + -5x Solving 10 + -3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -3x + 5x = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x 10 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 2x = -12 + 0 10 + 2x = -12 Add '-10' to each side of the equation. 10 + -10 + 2x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -12 + -10 2x = -12 + -10 Combine like terms: -12 + -10 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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