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Simplifying 3(6x + -2) + 8 = 4(5 + 5x) Reorder the terms: 3(-2 + 6x) + 8 = 4(5 + 5x) (-2 * 3 + 6x * 3) + 8 = 4(5 + 5x) (-6 + 18x) + 8 = 4(5 + 5x) Reorder the terms: -6 + 8 + 18x = 4(5 + 5x) Combine like terms: -6 + 8 = 2 2 + 18x = 4(5 + 5x) 2 + 18x = (5 * 4 + 5x * 4) 2 + 18x = (20 + 20x) Solving 2 + 18x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 2 + 18x + -20x = 20 + 20x + -20x Combine like terms: 18x + -20x = -2x 2 + -2x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -2x = 20 + 0 2 + -2x = 20 Add '-2' to each side of the equation. 2 + -2 + -2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 20 + -2 -2x = 20 + -2 Combine like terms: 20 + -2 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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