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Simplifying -0.25(8x + -12) = -1.5(6x + -16) Reorder the terms: -0.25(-12 + 8x) = -1.5(6x + -16) (-12 * -0.25 + 8x * -0.25) = -1.5(6x + -16) (3 + -2x) = -1.5(6x + -16) Reorder the terms: 3 + -2x = -1.5(-16 + 6x) 3 + -2x = (-16 * -1.5 + 6x * -1.5) 3 + -2x = (24 + -9x) Solving 3 + -2x = 24 + -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. 3 + -2x + 9x = 24 + -9x + 9x Combine like terms: -2x + 9x = 7x 3 + 7x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 3 + 7x = 24 + 0 3 + 7x = 24 Add '-3' to each side of the equation. 3 + -3 + 7x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 24 + -3 7x = 24 + -3 Combine like terms: 24 + -3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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