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Simplifying 4(x + -1) + -5 = 3x + 7 Reorder the terms: 4(-1 + x) + -5 = 3x + 7 (-1 * 4 + x * 4) + -5 = 3x + 7 (-4 + 4x) + -5 = 3x + 7 Reorder the terms: -4 + -5 + 4x = 3x + 7 Combine like terms: -4 + -5 = -9 -9 + 4x = 3x + 7 Reorder the terms: -9 + 4x = 7 + 3x Solving -9 + 4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x -9 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 1x = 7 + 0 -9 + 1x = 7 Add '9' to each side of the equation. -9 + 9 + 1x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 7 + 9 1x = 7 + 9 Combine like terms: 7 + 9 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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