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Simplifying 2(x + -3) + -1(x + 1) = 5x + -4 Reorder the terms: 2(-3 + x) + -1(x + 1) = 5x + -4 (-3 * 2 + x * 2) + -1(x + 1) = 5x + -4 (-6 + 2x) + -1(x + 1) = 5x + -4 Reorder the terms: -6 + 2x + -1(1 + x) = 5x + -4 -6 + 2x + (1 * -1 + x * -1) = 5x + -4 -6 + 2x + (-1 + -1x) = 5x + -4 Reorder the terms: -6 + -1 + 2x + -1x = 5x + -4 Combine like terms: -6 + -1 = -7 -7 + 2x + -1x = 5x + -4 Combine like terms: 2x + -1x = 1x -7 + 1x = 5x + -4 Reorder the terms: -7 + 1x = -4 + 5x Solving -7 + 1x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 1x + -5x = -4 + 5x + -5x Combine like terms: 1x + -5x = -4x -7 + -4x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -4x = -4 + 0 -7 + -4x = -4 Add '7' to each side of the equation. -7 + 7 + -4x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -4 + 7 -4x = -4 + 7 Combine like terms: -4 + 7 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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