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Simplifying 4(2x + 5) + x = 2(2 + -1x) + 2 Reorder the terms: 4(5 + 2x) + x = 2(2 + -1x) + 2 (5 * 4 + 2x * 4) + x = 2(2 + -1x) + 2 (20 + 8x) + x = 2(2 + -1x) + 2 Combine like terms: 8x + x = 9x 20 + 9x = 2(2 + -1x) + 2 20 + 9x = (2 * 2 + -1x * 2) + 2 20 + 9x = (4 + -2x) + 2 Reorder the terms: 20 + 9x = 4 + 2 + -2x Combine like terms: 4 + 2 = 6 20 + 9x = 6 + -2x Solving 20 + 9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 9x + 2x = 6 + -2x + 2x Combine like terms: 9x + 2x = 11x 20 + 11x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 11x = 6 + 0 20 + 11x = 6 Add '-20' to each side of the equation. 20 + -20 + 11x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 6 + -20 11x = 6 + -20 Combine like terms: 6 + -20 = -14 11x = -14 Divide each side by '11'. x = -1.272727273 Simplifying x = -1.272727273
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