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Simplifying 2(2x + 5) + -3x = 2x + 9 Reorder the terms: 2(5 + 2x) + -3x = 2x + 9 (5 * 2 + 2x * 2) + -3x = 2x + 9 (10 + 4x) + -3x = 2x + 9 Combine like terms: 4x + -3x = 1x 10 + 1x = 2x + 9 Reorder the terms: 10 + 1x = 9 + 2x Solving 10 + 1x = 9 + 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. 10 + 1x + -2x = 9 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = 9 + 0 10 + -1x = 9 Add '-10' to each side of the equation. 10 + -10 + -1x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 9 + -10 -1x = 9 + -10 Combine like terms: 9 + -10 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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