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Simplifying 2x + 5 = 3(x + -1) + -1(4 + -1x) Reorder the terms: 5 + 2x = 3(x + -1) + -1(4 + -1x) Reorder the terms: 5 + 2x = 3(-1 + x) + -1(4 + -1x) 5 + 2x = (-1 * 3 + x * 3) + -1(4 + -1x) 5 + 2x = (-3 + 3x) + -1(4 + -1x) 5 + 2x = -3 + 3x + (4 * -1 + -1x * -1) 5 + 2x = -3 + 3x + (-4 + 1x) Reorder the terms: 5 + 2x = -3 + -4 + 3x + 1x Combine like terms: -3 + -4 = -7 5 + 2x = -7 + 3x + 1x Combine like terms: 3x + 1x = 4x 5 + 2x = -7 + 4x Solving 5 + 2x = -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. 5 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = -7 + 0 5 + -2x = -7 Add '-5' to each side of the equation. 5 + -5 + -2x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -7 + -5 -2x = -7 + -5 Combine like terms: -7 + -5 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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