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Simplifying 4(x + -5) + -3(12 + -1x) = 7 Reorder the terms: 4(-5 + x) + -3(12 + -1x) = 7 (-5 * 4 + x * 4) + -3(12 + -1x) = 7 (-20 + 4x) + -3(12 + -1x) = 7 -20 + 4x + (12 * -3 + -1x * -3) = 7 -20 + 4x + (-36 + 3x) = 7 Reorder the terms: -20 + -36 + 4x + 3x = 7 Combine like terms: -20 + -36 = -56 -56 + 4x + 3x = 7 Combine like terms: 4x + 3x = 7x -56 + 7x = 7 Solving -56 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 7x = 7 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = 7 + 56 7x = 7 + 56 Combine like terms: 7 + 56 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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