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Simplifying 4(x + -6) + -6(x + -4) = x + 7 + -1(x + -9) Reorder the terms: 4(-6 + x) + -6(x + -4) = x + 7 + -1(x + -9) (-6 * 4 + x * 4) + -6(x + -4) = x + 7 + -1(x + -9) (-24 + 4x) + -6(x + -4) = x + 7 + -1(x + -9) Reorder the terms: -24 + 4x + -6(-4 + x) = x + 7 + -1(x + -9) -24 + 4x + (-4 * -6 + x * -6) = x + 7 + -1(x + -9) -24 + 4x + (24 + -6x) = x + 7 + -1(x + -9) Reorder the terms: -24 + 24 + 4x + -6x = x + 7 + -1(x + -9) Combine like terms: -24 + 24 = 0 0 + 4x + -6x = x + 7 + -1(x + -9) 4x + -6x = x + 7 + -1(x + -9) Combine like terms: 4x + -6x = -2x -2x = x + 7 + -1(x + -9) Reorder the terms: -2x = x + 7 + -1(-9 + x) -2x = x + 7 + (-9 * -1 + x * -1) -2x = x + 7 + (9 + -1x) Reorder the terms: -2x = 7 + 9 + x + -1x Combine like terms: 7 + 9 = 16 -2x = 16 + x + -1x Combine like terms: x + -1x = 0 -2x = 16 + 0 -2x = 16 Solving -2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = -8 Simplifying x = -8
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