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Simplifying 1.5(4x + 6) = -3x + -9 + x Reorder the terms: 1.5(6 + 4x) = -3x + -9 + x (6 * 1.5 + 4x * 1.5) = -3x + -9 + x (9 + 6x) = -3x + -9 + x Reorder the terms: 9 + 6x = -9 + -3x + x Combine like terms: -3x + x = -2x 9 + 6x = -9 + -2x Solving 9 + 6x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 6x + 2x = -9 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = -9 + 0 9 + 8x = -9 Add '-9' to each side of the equation. 9 + -9 + 8x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -9 + -9 8x = -9 + -9 Combine like terms: -9 + -9 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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