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