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Simplifying 3(x + -2) + -4 = 4(x + -6) Reorder the terms: 3(-2 + x) + -4 = 4(x + -6) (-2 * 3 + x * 3) + -4 = 4(x + -6) (-6 + 3x) + -4 = 4(x + -6) Reorder the terms: -6 + -4 + 3x = 4(x + -6) Combine like terms: -6 + -4 = -10 -10 + 3x = 4(x + -6) Reorder the terms: -10 + 3x = 4(-6 + x) -10 + 3x = (-6 * 4 + x * 4) -10 + 3x = (-24 + 4x) Solving -10 + 3x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = -24 + 0 -10 + -1x = -24 Add '10' to each side of the equation. -10 + 10 + -1x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -24 + 10 -1x = -24 + 10 Combine like terms: -24 + 10 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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