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Simplifying -3.0(x + -4) + x = 0.5(3 + -1x) Reorder the terms: -3.0(-4 + x) + x = 0.5(3 + -1x) (-4 * -3.0 + x * -3.0) + x = 0.5(3 + -1x) (12 + -3.0x) + x = 0.5(3 + -1x) Combine like terms: -3.0x + x = -2x 12 + -2x = 0.5(3 + -1x) 12 + -2x = (3 * 0.5 + -1x * 0.5) 12 + -2x = (1.5 + -0.5x) Solving 12 + -2x = 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. 12 + -2x + 0.5x = 1.5 + -0.5x + 0.5x Combine like terms: -2x + 0.5x = -1.5x 12 + -1.5x = 1.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 12 + -1.5x = 1.5 + 0.0 12 + -1.5x = 1.5 Add '-12' to each side of the equation. 12 + -12 + -1.5x = 1.5 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = 1.5 + -12 -1.5x = 1.5 + -12 Combine like terms: 1.5 + -12 = -10.5 -1.5x = -10.5 Divide each side by '-1.5'. x = 7 Simplifying x = 7
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