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Simplifying 2(x + 1) + -3(2x + -5) = -6x + -3 Reorder the terms: 2(1 + x) + -3(2x + -5) = -6x + -3 (1 * 2 + x * 2) + -3(2x + -5) = -6x + -3 (2 + 2x) + -3(2x + -5) = -6x + -3 Reorder the terms: 2 + 2x + -3(-5 + 2x) = -6x + -3 2 + 2x + (-5 * -3 + 2x * -3) = -6x + -3 2 + 2x + (15 + -6x) = -6x + -3 Reorder the terms: 2 + 15 + 2x + -6x = -6x + -3 Combine like terms: 2 + 15 = 17 17 + 2x + -6x = -6x + -3 Combine like terms: 2x + -6x = -4x 17 + -4x = -6x + -3 Reorder the terms: 17 + -4x = -3 + -6x Solving 17 + -4x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + -4x + 6x = -3 + -6x + 6x Combine like terms: -4x + 6x = 2x 17 + 2x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 2x = -3 + 0 17 + 2x = -3 Add '-17' to each side of the equation. 17 + -17 + 2x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -3 + -17 2x = -3 + -17 Combine like terms: -3 + -17 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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