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Simplifying 3(x + -2) + -4 = 2(x + -0.5) Reorder the terms: 3(-2 + x) + -4 = 2(x + -0.5) (-2 * 3 + x * 3) + -4 = 2(x + -0.5) (-6 + 3x) + -4 = 2(x + -0.5) Reorder the terms: -6 + -4 + 3x = 2(x + -0.5) Combine like terms: -6 + -4 = -10 -10 + 3x = 2(x + -0.5) Reorder the terms: -10 + 3x = 2(-0.5 + x) -10 + 3x = (-0.5 * 2 + x * 2) -10 + 3x = (-1 + 2x) Solving -10 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = -1 + 0 -10 + 1x = -1 Add '10' to each side of the equation. -10 + 10 + 1x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -1 + 10 1x = -1 + 10 Combine like terms: -1 + 10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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