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Simplifying -5(4x + -3) = 2(1 + -8x) + 11 Reorder the terms: -5(-3 + 4x) = 2(1 + -8x) + 11 (-3 * -5 + 4x * -5) = 2(1 + -8x) + 11 (15 + -20x) = 2(1 + -8x) + 11 15 + -20x = (1 * 2 + -8x * 2) + 11 15 + -20x = (2 + -16x) + 11 Reorder the terms: 15 + -20x = 2 + 11 + -16x Combine like terms: 2 + 11 = 13 15 + -20x = 13 + -16x Solving 15 + -20x = 13 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + -20x + 16x = 13 + -16x + 16x Combine like terms: -20x + 16x = -4x 15 + -4x = 13 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + -4x = 13 + 0 15 + -4x = 13 Add '-15' to each side of the equation. 15 + -15 + -4x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 13 + -15 -4x = 13 + -15 Combine like terms: 13 + -15 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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