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Simplifying 4x + 9 + 2(x + 3) = 12x + -5 + -2x Reorder the terms: 4x + 9 + 2(3 + x) = 12x + -5 + -2x 4x + 9 + (3 * 2 + x * 2) = 12x + -5 + -2x 4x + 9 + (6 + 2x) = 12x + -5 + -2x Reorder the terms: 9 + 6 + 4x + 2x = 12x + -5 + -2x Combine like terms: 9 + 6 = 15 15 + 4x + 2x = 12x + -5 + -2x Combine like terms: 4x + 2x = 6x 15 + 6x = 12x + -5 + -2x Reorder the terms: 15 + 6x = -5 + 12x + -2x Combine like terms: 12x + -2x = 10x 15 + 6x = -5 + 10x Solving 15 + 6x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 6x + -10x = -5 + 10x + -10x Combine like terms: 6x + -10x = -4x 15 + -4x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -4x = -5 + 0 15 + -4x = -5 Add '-15' to each side of the equation. 15 + -15 + -4x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -5 + -15 -4x = -5 + -15 Combine like terms: -5 + -15 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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