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Simplifying 7 + -4(x + 1) = 2 + -3(2x + -5) Reorder the terms: 7 + -4(1 + x) = 2 + -3(2x + -5) 7 + (1 * -4 + x * -4) = 2 + -3(2x + -5) 7 + (-4 + -4x) = 2 + -3(2x + -5) Combine like terms: 7 + -4 = 3 3 + -4x = 2 + -3(2x + -5) Reorder the terms: 3 + -4x = 2 + -3(-5 + 2x) 3 + -4x = 2 + (-5 * -3 + 2x * -3) 3 + -4x = 2 + (15 + -6x) Combine like terms: 2 + 15 = 17 3 + -4x = 17 + -6x Solving 3 + -4x = 17 + -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. 3 + -4x + 6x = 17 + -6x + 6x Combine like terms: -4x + 6x = 2x 3 + 2x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 2x = 17 + 0 3 + 2x = 17 Add '-3' to each side of the equation. 3 + -3 + 2x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 17 + -3 2x = 17 + -3 Combine like terms: 17 + -3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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