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