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Simplifying 2(x + -4) + -1(3x + 7) = -7 Reorder the terms: 2(-4 + x) + -1(3x + 7) = -7 (-4 * 2 + x * 2) + -1(3x + 7) = -7 (-8 + 2x) + -1(3x + 7) = -7 Reorder the terms: -8 + 2x + -1(7 + 3x) = -7 -8 + 2x + (7 * -1 + 3x * -1) = -7 -8 + 2x + (-7 + -3x) = -7 Reorder the terms: -8 + -7 + 2x + -3x = -7 Combine like terms: -8 + -7 = -15 -15 + 2x + -3x = -7 Combine like terms: 2x + -3x = -1x -15 + -1x = -7 Solving -15 + -1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -7 + 15 -1x = -7 + 15 Combine like terms: -7 + 15 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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