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Simplifying 2(9x + -2) + -2 = 3(4 + 5x) Reorder the terms: 2(-2 + 9x) + -2 = 3(4 + 5x) (-2 * 2 + 9x * 2) + -2 = 3(4 + 5x) (-4 + 18x) + -2 = 3(4 + 5x) Reorder the terms: -4 + -2 + 18x = 3(4 + 5x) Combine like terms: -4 + -2 = -6 -6 + 18x = 3(4 + 5x) -6 + 18x = (4 * 3 + 5x * 3) -6 + 18x = (12 + 15x) Solving -6 + 18x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 18x + -15x = 12 + 15x + -15x Combine like terms: 18x + -15x = 3x -6 + 3x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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