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Simplifying 3(x + -1) + -5 = 4x + -7 Reorder the terms: 3(-1 + x) + -5 = 4x + -7 (-1 * 3 + x * 3) + -5 = 4x + -7 (-3 + 3x) + -5 = 4x + -7 Reorder the terms: -3 + -5 + 3x = 4x + -7 Combine like terms: -3 + -5 = -8 -8 + 3x = 4x + -7 Reorder the terms: -8 + 3x = -7 + 4x Solving -8 + 3x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = -7 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = -7 + 0 -8 + -1x = -7 Add '8' to each side of the equation. -8 + 8 + -1x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -7 + 8 -1x = -7 + 8 Combine like terms: -7 + 8 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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