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Simplifying -5(-4 + 3x) = 2(2x + -9) (-4 * -5 + 3x * -5) = 2(2x + -9) (20 + -15x) = 2(2x + -9) Reorder the terms: 20 + -15x = 2(-9 + 2x) 20 + -15x = (-9 * 2 + 2x * 2) 20 + -15x = (-18 + 4x) Solving 20 + -15x = -18 + 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. 20 + -15x + -4x = -18 + 4x + -4x Combine like terms: -15x + -4x = -19x 20 + -19x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -19x = -18 + 0 20 + -19x = -18 Add '-20' to each side of the equation. 20 + -20 + -19x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -19x = -18 + -20 -19x = -18 + -20 Combine like terms: -18 + -20 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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