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Simplifying 5 + -2(3x + 2) = 4(5 + -2x) Reorder the terms: 5 + -2(2 + 3x) = 4(5 + -2x) 5 + (2 * -2 + 3x * -2) = 4(5 + -2x) 5 + (-4 + -6x) = 4(5 + -2x) Combine like terms: 5 + -4 = 1 1 + -6x = 4(5 + -2x) 1 + -6x = (5 * 4 + -2x * 4) 1 + -6x = (20 + -8x) Solving 1 + -6x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1 + -6x + 8x = 20 + -8x + 8x Combine like terms: -6x + 8x = 2x 1 + 2x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 2x = 20 + 0 1 + 2x = 20 Add '-1' to each side of the equation. 1 + -1 + 2x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 20 + -1 2x = 20 + -1 Combine like terms: 20 + -1 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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