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Simplifying 2(x + -3) + 3(x + 9) = 5(3x + 67) Reorder the terms: 2(-3 + x) + 3(x + 9) = 5(3x + 67) (-3 * 2 + x * 2) + 3(x + 9) = 5(3x + 67) (-6 + 2x) + 3(x + 9) = 5(3x + 67) Reorder the terms: -6 + 2x + 3(9 + x) = 5(3x + 67) -6 + 2x + (9 * 3 + x * 3) = 5(3x + 67) -6 + 2x + (27 + 3x) = 5(3x + 67) Reorder the terms: -6 + 27 + 2x + 3x = 5(3x + 67) Combine like terms: -6 + 27 = 21 21 + 2x + 3x = 5(3x + 67) Combine like terms: 2x + 3x = 5x 21 + 5x = 5(3x + 67) Reorder the terms: 21 + 5x = 5(67 + 3x) 21 + 5x = (67 * 5 + 3x * 5) 21 + 5x = (335 + 15x) Solving 21 + 5x = 335 + 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. 21 + 5x + -15x = 335 + 15x + -15x Combine like terms: 5x + -15x = -10x 21 + -10x = 335 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -10x = 335 + 0 21 + -10x = 335 Add '-21' to each side of the equation. 21 + -21 + -10x = 335 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 335 + -21 -10x = 335 + -21 Combine like terms: 335 + -21 = 314 -10x = 314 Divide each side by '-10'. x = -31.4 Simplifying x = -31.4
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