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Simplifying 1.5(4x + -6) = -2.5(6x + -4) Reorder the terms: 1.5(-6 + 4x) = -2.5(6x + -4) (-6 * 1.5 + 4x * 1.5) = -2.5(6x + -4) (-9 + 6x) = -2.5(6x + -4) Reorder the terms: -9 + 6x = -2.5(-4 + 6x) -9 + 6x = (-4 * -2.5 + 6x * -2.5) -9 + 6x = (10 + -15x) Solving -9 + 6x = 10 + -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. -9 + 6x + 15x = 10 + -15x + 15x Combine like terms: 6x + 15x = 21x -9 + 21x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 -9 + 21x = 10 + 0 -9 + 21x = 10 Add '9' to each side of the equation. -9 + 9 + 21x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 21x = 10 + 9 21x = 10 + 9 Combine like terms: 10 + 9 = 19 21x = 19 Divide each side by '21'. x = 0.9047619048 Simplifying x = 0.9047619048
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