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Simplifying 6x + 9(x + -8) = 3(x + 6) + -90 Reorder the terms: 6x + 9(-8 + x) = 3(x + 6) + -90 6x + (-8 * 9 + x * 9) = 3(x + 6) + -90 6x + (-72 + 9x) = 3(x + 6) + -90 Reorder the terms: -72 + 6x + 9x = 3(x + 6) + -90 Combine like terms: 6x + 9x = 15x -72 + 15x = 3(x + 6) + -90 Reorder the terms: -72 + 15x = 3(6 + x) + -90 -72 + 15x = (6 * 3 + x * 3) + -90 -72 + 15x = (18 + 3x) + -90 Reorder the terms: -72 + 15x = 18 + -90 + 3x Combine like terms: 18 + -90 = -72 -72 + 15x = -72 + 3x Add '72' to each side of the equation. -72 + 72 + 15x = -72 + 72 + 3x Combine like terms: -72 + 72 = 0 0 + 15x = -72 + 72 + 3x 15x = -72 + 72 + 3x Combine like terms: -72 + 72 = 0 15x = 0 + 3x 15x = 3x Solving 15x = 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. 15x + -3x = 3x + -3x Combine like terms: 15x + -3x = 12x 12x = 3x + -3x Combine like terms: 3x + -3x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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