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Simplifying -0.3(x + -4) + x = 0.5(3 + -1x) Reorder the terms: -0.3(-4 + x) + x = 0.5(3 + -1x) (-4 * -0.3 + x * -0.3) + x = 0.5(3 + -1x) (1.2 + -0.3x) + x = 0.5(3 + -1x) Combine like terms: -0.3x + x = 0.7x 1.2 + 0.7x = 0.5(3 + -1x) 1.2 + 0.7x = (3 * 0.5 + -1x * 0.5) 1.2 + 0.7x = (1.5 + -0.5x) Solving 1.2 + 0.7x = 1.5 + -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. 1.2 + 0.7x + 0.5x = 1.5 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x 1.2 + 1.2x = 1.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.2 + 1.2x = 1.5 + 0.0 1.2 + 1.2x = 1.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.2x = 1.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.2x = 1.5 + -1.2 1.2x = 1.5 + -1.2 Combine like terms: 1.5 + -1.2 = 0.3 1.2x = 0.3 Divide each side by '1.2'. x = 0.25 Simplifying x = 0.25
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