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Simplifying 0.5(4x + 8) = 0.75(12x + -16) Reorder the terms: 0.5(8 + 4x) = 0.75(12x + -16) (8 * 0.5 + 4x * 0.5) = 0.75(12x + -16) (4 + 2x) = 0.75(12x + -16) Reorder the terms: 4 + 2x = 0.75(-16 + 12x) 4 + 2x = (-16 * 0.75 + 12x * 0.75) 4 + 2x = (-12 + 9x) Solving 4 + 2x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 2x + -9x = -12 + 9x + -9x Combine like terms: 2x + -9x = -7x 4 + -7x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -7x = -12 + 0 4 + -7x = -12 Add '-4' to each side of the equation. 4 + -4 + -7x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -12 + -4 -7x = -12 + -4 Combine like terms: -12 + -4 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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