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Simplifying -5(x + -4) + 4 = 2(-2x + -2) + 9 Reorder the terms: -5(-4 + x) + 4 = 2(-2x + -2) + 9 (-4 * -5 + x * -5) + 4 = 2(-2x + -2) + 9 (20 + -5x) + 4 = 2(-2x + -2) + 9 Reorder the terms: 20 + 4 + -5x = 2(-2x + -2) + 9 Combine like terms: 20 + 4 = 24 24 + -5x = 2(-2x + -2) + 9 Reorder the terms: 24 + -5x = 2(-2 + -2x) + 9 24 + -5x = (-2 * 2 + -2x * 2) + 9 24 + -5x = (-4 + -4x) + 9 Reorder the terms: 24 + -5x = -4 + 9 + -4x Combine like terms: -4 + 9 = 5 24 + -5x = 5 + -4x Solving 24 + -5x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + -5x + 4x = 5 + -4x + 4x Combine like terms: -5x + 4x = -1x 24 + -1x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + -1x = 5 + 0 24 + -1x = 5 Add '-24' to each side of the equation. 24 + -24 + -1x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 5 + -24 -1x = 5 + -24 Combine like terms: 5 + -24 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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