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Simplifying 3(x + -5) + -4(12 + -1x) = 7 Reorder the terms: 3(-5 + x) + -4(12 + -1x) = 7 (-5 * 3 + x * 3) + -4(12 + -1x) = 7 (-15 + 3x) + -4(12 + -1x) = 7 -15 + 3x + (12 * -4 + -1x * -4) = 7 -15 + 3x + (-48 + 4x) = 7 Reorder the terms: -15 + -48 + 3x + 4x = 7 Combine like terms: -15 + -48 = -63 -63 + 3x + 4x = 7 Combine like terms: 3x + 4x = 7x -63 + 7x = 7 Solving -63 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 7x = 7 + 63 Combine like terms: -63 + 63 = 0 0 + 7x = 7 + 63 7x = 7 + 63 Combine like terms: 7 + 63 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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