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Simplifying 4(4x + 3) + -2(5x + -3) = 3(x + 9) Reorder the terms: 4(3 + 4x) + -2(5x + -3) = 3(x + 9) (3 * 4 + 4x * 4) + -2(5x + -3) = 3(x + 9) (12 + 16x) + -2(5x + -3) = 3(x + 9) Reorder the terms: 12 + 16x + -2(-3 + 5x) = 3(x + 9) 12 + 16x + (-3 * -2 + 5x * -2) = 3(x + 9) 12 + 16x + (6 + -10x) = 3(x + 9) Reorder the terms: 12 + 6 + 16x + -10x = 3(x + 9) Combine like terms: 12 + 6 = 18 18 + 16x + -10x = 3(x + 9) Combine like terms: 16x + -10x = 6x 18 + 6x = 3(x + 9) Reorder the terms: 18 + 6x = 3(9 + x) 18 + 6x = (9 * 3 + x * 3) 18 + 6x = (27 + 3x) Solving 18 + 6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 6x + -3x = 27 + 3x + -3x Combine like terms: 6x + -3x = 3x 18 + 3x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 3x = 27 + 0 18 + 3x = 27 Add '-18' to each side of the equation. 18 + -18 + 3x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 27 + -18 3x = 27 + -18 Combine like terms: 27 + -18 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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