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Simplifying 3(x + -4) + -4(x + -3) = x + 3 + -1(x + -4) Reorder the terms: 3(-4 + x) + -4(x + -3) = x + 3 + -1(x + -4) (-4 * 3 + x * 3) + -4(x + -3) = x + 3 + -1(x + -4) (-12 + 3x) + -4(x + -3) = x + 3 + -1(x + -4) Reorder the terms: -12 + 3x + -4(-3 + x) = x + 3 + -1(x + -4) -12 + 3x + (-3 * -4 + x * -4) = x + 3 + -1(x + -4) -12 + 3x + (12 + -4x) = x + 3 + -1(x + -4) Reorder the terms: -12 + 12 + 3x + -4x = x + 3 + -1(x + -4) Combine like terms: -12 + 12 = 0 0 + 3x + -4x = x + 3 + -1(x + -4) 3x + -4x = x + 3 + -1(x + -4) Combine like terms: 3x + -4x = -1x -1x = x + 3 + -1(x + -4) Reorder the terms: -1x = x + 3 + -1(-4 + x) -1x = x + 3 + (-4 * -1 + x * -1) -1x = x + 3 + (4 + -1x) Reorder the terms: -1x = 3 + 4 + x + -1x Combine like terms: 3 + 4 = 7 -1x = 7 + x + -1x Combine like terms: x + -1x = 0 -1x = 7 + 0 -1x = 7 Solving -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -7 Simplifying x = -7
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