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Simplifying 2(x + -3) + -2x + 6 = 2x + -3 Reorder the terms: 2(-3 + x) + -2x + 6 = 2x + -3 (-3 * 2 + x * 2) + -2x + 6 = 2x + -3 (-6 + 2x) + -2x + 6 = 2x + -3 Reorder the terms: -6 + 6 + 2x + -2x = 2x + -3 Combine like terms: -6 + 6 = 0 0 + 2x + -2x = 2x + -3 2x + -2x = 2x + -3 Combine like terms: 2x + -2x = 0 0 = 2x + -3 Reorder the terms: 0 = -3 + 2x Solving 0 = -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. 0 + -2x = -3 + 2x + -2x Remove the zero: -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x = -3 + 0 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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