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