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Simplifying 2x + -3(x + 1) = 5 + -1(4x + -7) Reorder the terms: 2x + -3(1 + x) = 5 + -1(4x + -7) 2x + (1 * -3 + x * -3) = 5 + -1(4x + -7) 2x + (-3 + -3x) = 5 + -1(4x + -7) Reorder the terms: -3 + 2x + -3x = 5 + -1(4x + -7) Combine like terms: 2x + -3x = -1x -3 + -1x = 5 + -1(4x + -7) Reorder the terms: -3 + -1x = 5 + -1(-7 + 4x) -3 + -1x = 5 + (-7 * -1 + 4x * -1) -3 + -1x = 5 + (7 + -4x) Combine like terms: 5 + 7 = 12 -3 + -1x = 12 + -4x Solving -3 + -1x = 12 + -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. -3 + -1x + 4x = 12 + -4x + 4x Combine like terms: -1x + 4x = 3x -3 + 3x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 3x = 12 + 0 -3 + 3x = 12 Add '3' to each side of the equation. -3 + 3 + 3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 12 + 3 3x = 12 + 3 Combine like terms: 12 + 3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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