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Simplifying 4(x + -9) + 12 = 2(x + -5) Reorder the terms: 4(-9 + x) + 12 = 2(x + -5) (-9 * 4 + x * 4) + 12 = 2(x + -5) (-36 + 4x) + 12 = 2(x + -5) Reorder the terms: -36 + 12 + 4x = 2(x + -5) Combine like terms: -36 + 12 = -24 -24 + 4x = 2(x + -5) Reorder the terms: -24 + 4x = 2(-5 + x) -24 + 4x = (-5 * 2 + x * 2) -24 + 4x = (-10 + 2x) Solving -24 + 4x = -10 + 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. -24 + 4x + -2x = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x -24 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 2x = -10 + 0 -24 + 2x = -10 Add '24' to each side of the equation. -24 + 24 + 2x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -10 + 24 2x = -10 + 24 Combine like terms: -10 + 24 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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