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Simplifying 4(2x + 4) = -5(3x + -4) Reorder the terms: 4(4 + 2x) = -5(3x + -4) (4 * 4 + 2x * 4) = -5(3x + -4) (16 + 8x) = -5(3x + -4) Reorder the terms: 16 + 8x = -5(-4 + 3x) 16 + 8x = (-4 * -5 + 3x * -5) 16 + 8x = (20 + -15x) Solving 16 + 8x = 20 + -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 + 8x + 15x = 20 + -15x + 15x Combine like terms: 8x + 15x = 23x 16 + 23x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 16 + 23x = 20 + 0 16 + 23x = 20 Add '-16' to each side of the equation. 16 + -16 + 23x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 23x = 20 + -16 23x = 20 + -16 Combine like terms: 20 + -16 = 4 23x = 4 Divide each side by '23'. x = 0.1739130435 Simplifying x = 0.1739130435
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