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Simplifying 2(x + 5) + -7x = 3(2 + -1x) + 2x Reorder the terms: 2(5 + x) + -7x = 3(2 + -1x) + 2x (5 * 2 + x * 2) + -7x = 3(2 + -1x) + 2x (10 + 2x) + -7x = 3(2 + -1x) + 2x Combine like terms: 2x + -7x = -5x 10 + -5x = 3(2 + -1x) + 2x 10 + -5x = (2 * 3 + -1x * 3) + 2x 10 + -5x = (6 + -3x) + 2x Combine like terms: -3x + 2x = -1x 10 + -5x = 6 + -1x Solving 10 + -5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -5x + x = 6 + -1x + x Combine like terms: -5x + x = -4x 10 + -4x = 6 + -1x + x Combine like terms: -1x + x = 0 10 + -4x = 6 + 0 10 + -4x = 6 Add '-10' to each side of the equation. 10 + -10 + -4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6 + -10 -4x = 6 + -10 Combine like terms: 6 + -10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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