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Simplifying 4(x + -12) + 6(x + 5) = 132 Reorder the terms: 4(-12 + x) + 6(x + 5) = 132 (-12 * 4 + x * 4) + 6(x + 5) = 132 (-48 + 4x) + 6(x + 5) = 132 Reorder the terms: -48 + 4x + 6(5 + x) = 132 -48 + 4x + (5 * 6 + x * 6) = 132 -48 + 4x + (30 + 6x) = 132 Reorder the terms: -48 + 30 + 4x + 6x = 132 Combine like terms: -48 + 30 = -18 -18 + 4x + 6x = 132 Combine like terms: 4x + 6x = 10x -18 + 10x = 132 Solving -18 + 10x = 132 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10x = 132 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 132 + 18 10x = 132 + 18 Combine like terms: 132 + 18 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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