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Simplifying 4(5x + -5) + -2(2x + -18) = 5(3x + 3) + -8 Reorder the terms: 4(-5 + 5x) + -2(2x + -18) = 5(3x + 3) + -8 (-5 * 4 + 5x * 4) + -2(2x + -18) = 5(3x + 3) + -8 (-20 + 20x) + -2(2x + -18) = 5(3x + 3) + -8 Reorder the terms: -20 + 20x + -2(-18 + 2x) = 5(3x + 3) + -8 -20 + 20x + (-18 * -2 + 2x * -2) = 5(3x + 3) + -8 -20 + 20x + (36 + -4x) = 5(3x + 3) + -8 Reorder the terms: -20 + 36 + 20x + -4x = 5(3x + 3) + -8 Combine like terms: -20 + 36 = 16 16 + 20x + -4x = 5(3x + 3) + -8 Combine like terms: 20x + -4x = 16x 16 + 16x = 5(3x + 3) + -8 Reorder the terms: 16 + 16x = 5(3 + 3x) + -8 16 + 16x = (3 * 5 + 3x * 5) + -8 16 + 16x = (15 + 15x) + -8 Reorder the terms: 16 + 16x = 15 + -8 + 15x Combine like terms: 15 + -8 = 7 16 + 16x = 7 + 15x Solving 16 + 16x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 16x + -15x = 7 + 15x + -15x Combine like terms: 16x + -15x = 1x 16 + 1x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 1x = 7 + 0 16 + 1x = 7 Add '-16' to each side of the equation. 16 + -16 + 1x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 7 + -16 1x = 7 + -16 Combine like terms: 7 + -16 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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