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Simplifying 5(x + 4) + -2(7 + -2x) = 3(2x + 3) Reorder the terms: 5(4 + x) + -2(7 + -2x) = 3(2x + 3) (4 * 5 + x * 5) + -2(7 + -2x) = 3(2x + 3) (20 + 5x) + -2(7 + -2x) = 3(2x + 3) 20 + 5x + (7 * -2 + -2x * -2) = 3(2x + 3) 20 + 5x + (-14 + 4x) = 3(2x + 3) Reorder the terms: 20 + -14 + 5x + 4x = 3(2x + 3) Combine like terms: 20 + -14 = 6 6 + 5x + 4x = 3(2x + 3) Combine like terms: 5x + 4x = 9x 6 + 9x = 3(2x + 3) Reorder the terms: 6 + 9x = 3(3 + 2x) 6 + 9x = (3 * 3 + 2x * 3) 6 + 9x = (9 + 6x) Solving 6 + 9x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 9x + -6x = 9 + 6x + -6x Combine like terms: 9x + -6x = 3x 6 + 3x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 3x = 9 + 0 6 + 3x = 9 Add '-6' to each side of the equation. 6 + -6 + 3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 9 + -6 3x = 9 + -6 Combine like terms: 9 + -6 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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