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Simplifying 0.5(3x + 3) = 4(2 + -2x) + 3 Reorder the terms: 0.5(3 + 3x) = 4(2 + -2x) + 3 (3 * 0.5 + 3x * 0.5) = 4(2 + -2x) + 3 (1.5 + 1.5x) = 4(2 + -2x) + 3 1.5 + 1.5x = (2 * 4 + -2x * 4) + 3 1.5 + 1.5x = (8 + -8x) + 3 Reorder the terms: 1.5 + 1.5x = 8 + 3 + -8x Combine like terms: 8 + 3 = 11 1.5 + 1.5x = 11 + -8x Solving 1.5 + 1.5x = 11 + -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. 1.5 + 1.5x + 8x = 11 + -8x + 8x Combine like terms: 1.5x + 8x = 9.5x 1.5 + 9.5x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 1.5 + 9.5x = 11 + 0 1.5 + 9.5x = 11 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 9.5x = 11 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 9.5x = 11 + -1.5 9.5x = 11 + -1.5 Combine like terms: 11 + -1.5 = 9.5 9.5x = 9.5 Divide each side by '9.5'. x = 1 Simplifying x = 1
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