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Simplifying 1.5(7 + -2x) = 3x + -9 (7 * 1.5 + -2x * 1.5) = 3x + -9 (10.5 + -3x) = 3x + -9 Reorder the terms: 10.5 + -3x = -9 + 3x Solving 10.5 + -3x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10.5 + -3x + -3x = -9 + 3x + -3x Combine like terms: -3x + -3x = -6x 10.5 + -6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 10.5 + -6x = -9 + 0 10.5 + -6x = -9 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -6x = -9 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -6x = -9 + -10.5 -6x = -9 + -10.5 Combine like terms: -9 + -10.5 = -19.5 -6x = -19.5 Divide each side by '-6'. x = 3.25 Simplifying x = 3.25
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