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Simplifying 4(x + -2) = 12(x + -4) + 2x Reorder the terms: 4(-2 + x) = 12(x + -4) + 2x (-2 * 4 + x * 4) = 12(x + -4) + 2x (-8 + 4x) = 12(x + -4) + 2x Reorder the terms: -8 + 4x = 12(-4 + x) + 2x -8 + 4x = (-4 * 12 + x * 12) + 2x -8 + 4x = (-48 + 12x) + 2x Combine like terms: 12x + 2x = 14x -8 + 4x = -48 + 14x Solving -8 + 4x = -48 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + 4x + -14x = -48 + 14x + -14x Combine like terms: 4x + -14x = -10x -8 + -10x = -48 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -10x = -48 + 0 -8 + -10x = -48 Add '8' to each side of the equation. -8 + 8 + -10x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -48 + 8 -10x = -48 + 8 Combine like terms: -48 + 8 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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