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Simplifying 3(x + -2) + -2(x + 3) = 125 + 0.5(4x + -8) Reorder the terms: 3(-2 + x) + -2(x + 3) = 125 + 0.5(4x + -8) (-2 * 3 + x * 3) + -2(x + 3) = 125 + 0.5(4x + -8) (-6 + 3x) + -2(x + 3) = 125 + 0.5(4x + -8) Reorder the terms: -6 + 3x + -2(3 + x) = 125 + 0.5(4x + -8) -6 + 3x + (3 * -2 + x * -2) = 125 + 0.5(4x + -8) -6 + 3x + (-6 + -2x) = 125 + 0.5(4x + -8) Reorder the terms: -6 + -6 + 3x + -2x = 125 + 0.5(4x + -8) Combine like terms: -6 + -6 = -12 -12 + 3x + -2x = 125 + 0.5(4x + -8) Combine like terms: 3x + -2x = 1x -12 + 1x = 125 + 0.5(4x + -8) Reorder the terms: -12 + 1x = 125 + 0.5(-8 + 4x) -12 + 1x = 125 + (-8 * 0.5 + 4x * 0.5) -12 + 1x = 125 + (-4 + 2x) Combine like terms: 125 + -4 = 121 -12 + 1x = 121 + 2x Solving -12 + 1x = 121 + 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. -12 + 1x + -2x = 121 + 2x + -2x Combine like terms: 1x + -2x = -1x -12 + -1x = 121 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -1x = 121 + 0 -12 + -1x = 121 Add '12' to each side of the equation. -12 + 12 + -1x = 121 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 121 + 12 -1x = 121 + 12 Combine like terms: 121 + 12 = 133 -1x = 133 Divide each side by '-1'. x = -133 Simplifying x = -133
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