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Simplifying 2(2x + 3) = 8(1 + -1x) + -5(x + -2) Reorder the terms: 2(3 + 2x) = 8(1 + -1x) + -5(x + -2) (3 * 2 + 2x * 2) = 8(1 + -1x) + -5(x + -2) (6 + 4x) = 8(1 + -1x) + -5(x + -2) 6 + 4x = (1 * 8 + -1x * 8) + -5(x + -2) 6 + 4x = (8 + -8x) + -5(x + -2) Reorder the terms: 6 + 4x = 8 + -8x + -5(-2 + x) 6 + 4x = 8 + -8x + (-2 * -5 + x * -5) 6 + 4x = 8 + -8x + (10 + -5x) Reorder the terms: 6 + 4x = 8 + 10 + -8x + -5x Combine like terms: 8 + 10 = 18 6 + 4x = 18 + -8x + -5x Combine like terms: -8x + -5x = -13x 6 + 4x = 18 + -13x Solving 6 + 4x = 18 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 6 + 4x + 13x = 18 + -13x + 13x Combine like terms: 4x + 13x = 17x 6 + 17x = 18 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 17x = 18 + 0 6 + 17x = 18 Add '-6' to each side of the equation. 6 + -6 + 17x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = 18 + -6 17x = 18 + -6 Combine like terms: 18 + -6 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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