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Simplifying 4x + 2 + -5x = 7 + 3(x + 1) Reorder the terms: 2 + 4x + -5x = 7 + 3(x + 1) Combine like terms: 4x + -5x = -1x 2 + -1x = 7 + 3(x + 1) Reorder the terms: 2 + -1x = 7 + 3(1 + x) 2 + -1x = 7 + (1 * 3 + x * 3) 2 + -1x = 7 + (3 + 3x) Combine like terms: 7 + 3 = 10 2 + -1x = 10 + 3x Solving 2 + -1x = 10 + 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. 2 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x 2 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -4x = 10 + 0 2 + -4x = 10 Add '-2' to each side of the equation. 2 + -2 + -4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 10 + -2 -4x = 10 + -2 Combine like terms: 10 + -2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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