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Simplifying 4(x + -1) + -1(3x + 5) = 3x + -1 Reorder the terms: 4(-1 + x) + -1(3x + 5) = 3x + -1 (-1 * 4 + x * 4) + -1(3x + 5) = 3x + -1 (-4 + 4x) + -1(3x + 5) = 3x + -1 Reorder the terms: -4 + 4x + -1(5 + 3x) = 3x + -1 -4 + 4x + (5 * -1 + 3x * -1) = 3x + -1 -4 + 4x + (-5 + -3x) = 3x + -1 Reorder the terms: -4 + -5 + 4x + -3x = 3x + -1 Combine like terms: -4 + -5 = -9 -9 + 4x + -3x = 3x + -1 Combine like terms: 4x + -3x = 1x -9 + 1x = 3x + -1 Reorder the terms: -9 + 1x = -1 + 3x Solving -9 + 1x = -1 + 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 + 1x + -3x = -1 + 3x + -3x Combine like terms: 1x + -3x = -2x -9 + -2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -2x = -1 + 0 -9 + -2x = -1 Add '9' to each side of the equation. -9 + 9 + -2x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -1 + 9 -2x = -1 + 9 Combine like terms: -1 + 9 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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