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Simplifying -0.3(x + -6) + x = 0.5(9 + -1x) Reorder the terms: -0.3(-6 + x) + x = 0.5(9 + -1x) (-6 * -0.3 + x * -0.3) + x = 0.5(9 + -1x) (1.8 + -0.3x) + x = 0.5(9 + -1x) Combine like terms: -0.3x + x = 0.7x 1.8 + 0.7x = 0.5(9 + -1x) 1.8 + 0.7x = (9 * 0.5 + -1x * 0.5) 1.8 + 0.7x = (4.5 + -0.5x) Solving 1.8 + 0.7x = 4.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 1.8 + 0.7x + 0.5x = 4.5 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x 1.8 + 1.2x = 4.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.8 + 1.2x = 4.5 + 0.0 1.8 + 1.2x = 4.5 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 1.2x = 4.5 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.2x = 4.5 + -1.8 1.2x = 4.5 + -1.8 Combine like terms: 4.5 + -1.8 = 2.7 1.2x = 2.7 Divide each side by '1.2'. x = 2.25 Simplifying x = 2.25
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