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Simplifying -7(x + 4) + -5(x + -12) = -9x + -1x Reorder the terms: -7(4 + x) + -5(x + -12) = -9x + -1x (4 * -7 + x * -7) + -5(x + -12) = -9x + -1x (-28 + -7x) + -5(x + -12) = -9x + -1x Reorder the terms: -28 + -7x + -5(-12 + x) = -9x + -1x -28 + -7x + (-12 * -5 + x * -5) = -9x + -1x -28 + -7x + (60 + -5x) = -9x + -1x Reorder the terms: -28 + 60 + -7x + -5x = -9x + -1x Combine like terms: -28 + 60 = 32 32 + -7x + -5x = -9x + -1x Combine like terms: -7x + -5x = -12x 32 + -12x = -9x + -1x Combine like terms: -9x + -1x = -10x 32 + -12x = -10x Solving 32 + -12x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 32 + -12x + 10x = -10x + 10x Combine like terms: -12x + 10x = -2x 32 + -2x = -10x + 10x Combine like terms: -10x + 10x = 0 32 + -2x = 0 Add '-32' to each side of the equation. 32 + -32 + -2x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 0 + -32 -2x = 0 + -32 Combine like terms: 0 + -32 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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