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Simplifying 2(2x + 5) + -5(3x + 1) = 5(7 + -1x) Reorder the terms: 2(5 + 2x) + -5(3x + 1) = 5(7 + -1x) (5 * 2 + 2x * 2) + -5(3x + 1) = 5(7 + -1x) (10 + 4x) + -5(3x + 1) = 5(7 + -1x) Reorder the terms: 10 + 4x + -5(1 + 3x) = 5(7 + -1x) 10 + 4x + (1 * -5 + 3x * -5) = 5(7 + -1x) 10 + 4x + (-5 + -15x) = 5(7 + -1x) Reorder the terms: 10 + -5 + 4x + -15x = 5(7 + -1x) Combine like terms: 10 + -5 = 5 5 + 4x + -15x = 5(7 + -1x) Combine like terms: 4x + -15x = -11x 5 + -11x = 5(7 + -1x) 5 + -11x = (7 * 5 + -1x * 5) 5 + -11x = (35 + -5x) Solving 5 + -11x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + -11x + 5x = 35 + -5x + 5x Combine like terms: -11x + 5x = -6x 5 + -6x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -6x = 35 + 0 5 + -6x = 35 Add '-5' to each side of the equation. 5 + -5 + -6x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 35 + -5 -6x = 35 + -5 Combine like terms: 35 + -5 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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