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