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Simplifying 2(x + -2) + -5(2x + -3) = 3 Reorder the terms: 2(-2 + x) + -5(2x + -3) = 3 (-2 * 2 + x * 2) + -5(2x + -3) = 3 (-4 + 2x) + -5(2x + -3) = 3 Reorder the terms: -4 + 2x + -5(-3 + 2x) = 3 -4 + 2x + (-3 * -5 + 2x * -5) = 3 -4 + 2x + (15 + -10x) = 3 Reorder the terms: -4 + 15 + 2x + -10x = 3 Combine like terms: -4 + 15 = 11 11 + 2x + -10x = 3 Combine like terms: 2x + -10x = -8x 11 + -8x = 3 Solving 11 + -8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 3 + -11 -8x = 3 + -11 Combine like terms: 3 + -11 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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