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Simplifying 3(2x + 8) + -8 = 7x + 2(3x + -9) Reorder the terms: 3(8 + 2x) + -8 = 7x + 2(3x + -9) (8 * 3 + 2x * 3) + -8 = 7x + 2(3x + -9) (24 + 6x) + -8 = 7x + 2(3x + -9) Reorder the terms: 24 + -8 + 6x = 7x + 2(3x + -9) Combine like terms: 24 + -8 = 16 16 + 6x = 7x + 2(3x + -9) Reorder the terms: 16 + 6x = 7x + 2(-9 + 3x) 16 + 6x = 7x + (-9 * 2 + 3x * 2) 16 + 6x = 7x + (-18 + 6x) Reorder the terms: 16 + 6x = -18 + 7x + 6x Combine like terms: 7x + 6x = 13x 16 + 6x = -18 + 13x Solving 16 + 6x = -18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 16 + 6x + -13x = -18 + 13x + -13x Combine like terms: 6x + -13x = -7x 16 + -7x = -18 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + -7x = -18 + 0 16 + -7x = -18 Add '-16' to each side of the equation. 16 + -16 + -7x = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -18 + -16 -7x = -18 + -16 Combine like terms: -18 + -16 = -34 -7x = -34 Divide each side by '-7'. x = 4.857142857 Simplifying x = 4.857142857
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