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