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Simplifying 4(x + 6) + -3x + -2 = 5(2 + -2x) Reorder the terms: 4(6 + x) + -3x + -2 = 5(2 + -2x) (6 * 4 + x * 4) + -3x + -2 = 5(2 + -2x) (24 + 4x) + -3x + -2 = 5(2 + -2x) Reorder the terms: 24 + -2 + 4x + -3x = 5(2 + -2x) Combine like terms: 24 + -2 = 22 22 + 4x + -3x = 5(2 + -2x) Combine like terms: 4x + -3x = 1x 22 + 1x = 5(2 + -2x) 22 + 1x = (2 * 5 + -2x * 5) 22 + 1x = (10 + -10x) Solving 22 + 1x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 22 + 1x + 10x = 10 + -10x + 10x Combine like terms: 1x + 10x = 11x 22 + 11x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 22 + 11x = 10 + 0 22 + 11x = 10 Add '-22' to each side of the equation. 22 + -22 + 11x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = 10 + -22 11x = 10 + -22 Combine like terms: 10 + -22 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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