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Simplifying 1.5x + 6 = 3(2.5x + -6) Reorder the terms: 6 + 1.5x = 3(2.5x + -6) Reorder the terms: 6 + 1.5x = 3(-6 + 2.5x) 6 + 1.5x = (-6 * 3 + 2.5x * 3) 6 + 1.5x = (-18 + 7.5x) Solving 6 + 1.5x = -18 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 6 + 1.5x + -7.5x = -18 + 7.5x + -7.5x Combine like terms: 1.5x + -7.5x = -6x 6 + -6x = -18 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 6 + -6x = -18 + 0.0 6 + -6x = -18 Add '-6' to each side of the equation. 6 + -6 + -6x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -18 + -6 -6x = -18 + -6 Combine like terms: -18 + -6 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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