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Simplifying x + 2(x + 3) = 5(3x + 4) + -2 Reorder the terms: x + 2(3 + x) = 5(3x + 4) + -2 x + (3 * 2 + x * 2) = 5(3x + 4) + -2 x + (6 + 2x) = 5(3x + 4) + -2 Reorder the terms: 6 + x + 2x = 5(3x + 4) + -2 Combine like terms: x + 2x = 3x 6 + 3x = 5(3x + 4) + -2 Reorder the terms: 6 + 3x = 5(4 + 3x) + -2 6 + 3x = (4 * 5 + 3x * 5) + -2 6 + 3x = (20 + 15x) + -2 Reorder the terms: 6 + 3x = 20 + -2 + 15x Combine like terms: 20 + -2 = 18 6 + 3x = 18 + 15x Solving 6 + 3x = 18 + 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 + 3x + -15x = 18 + 15x + -15x Combine like terms: 3x + -15x = -12x 6 + -12x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -12x = 18 + 0 6 + -12x = 18 Add '-6' to each side of the equation. 6 + -6 + -12x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 18 + -6 -12x = 18 + -6 Combine like terms: 18 + -6 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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