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Simplifying 2(4x + 1) = -5(2x + -3) + -4x Reorder the terms: 2(1 + 4x) = -5(2x + -3) + -4x (1 * 2 + 4x * 2) = -5(2x + -3) + -4x (2 + 8x) = -5(2x + -3) + -4x Reorder the terms: 2 + 8x = -5(-3 + 2x) + -4x 2 + 8x = (-3 * -5 + 2x * -5) + -4x 2 + 8x = (15 + -10x) + -4x Combine like terms: -10x + -4x = -14x 2 + 8x = 15 + -14x Solving 2 + 8x = 15 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 2 + 8x + 14x = 15 + -14x + 14x Combine like terms: 8x + 14x = 22x 2 + 22x = 15 + -14x + 14x Combine like terms: -14x + 14x = 0 2 + 22x = 15 + 0 2 + 22x = 15 Add '-2' to each side of the equation. 2 + -2 + 22x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 15 + -2 22x = 15 + -2 Combine like terms: 15 + -2 = 13 22x = 13 Divide each side by '22'. x = 0.5909090909 Simplifying x = 0.5909090909
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