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Simplifying 1.5(4x + 3) = 8x + -9.5 Reorder the terms: 1.5(3 + 4x) = 8x + -9.5 (3 * 1.5 + 4x * 1.5) = 8x + -9.5 (4.5 + 6x) = 8x + -9.5 Reorder the terms: 4.5 + 6x = -9.5 + 8x Solving 4.5 + 6x = -9.5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4.5 + 6x + -8x = -9.5 + 8x + -8x Combine like terms: 6x + -8x = -2x 4.5 + -2x = -9.5 + 8x + -8x Combine like terms: 8x + -8x = 0 4.5 + -2x = -9.5 + 0 4.5 + -2x = -9.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -2x = -9.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2x = -9.5 + -4.5 -2x = -9.5 + -4.5 Combine like terms: -9.5 + -4.5 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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