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Simplifying 2(5 + -3x) + 3(2x + -1) = 2x + 1 (5 * 2 + -3x * 2) + 3(2x + -1) = 2x + 1 (10 + -6x) + 3(2x + -1) = 2x + 1 Reorder the terms: 10 + -6x + 3(-1 + 2x) = 2x + 1 10 + -6x + (-1 * 3 + 2x * 3) = 2x + 1 10 + -6x + (-3 + 6x) = 2x + 1 Reorder the terms: 10 + -3 + -6x + 6x = 2x + 1 Combine like terms: 10 + -3 = 7 7 + -6x + 6x = 2x + 1 Combine like terms: -6x + 6x = 0 7 + 0 = 2x + 1 7 = 2x + 1 Reorder the terms: 7 = 1 + 2x Solving 7 = 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. 7 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = 1 + 0 7 + -2x = 1 Add '-7' to each side of the equation. 7 + -7 + -2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 1 + -7 -2x = 1 + -7 Combine like terms: 1 + -7 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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