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Simplifying 3(x + 7) + 2x = 5(3x + -4) + 11 Reorder the terms: 3(7 + x) + 2x = 5(3x + -4) + 11 (7 * 3 + x * 3) + 2x = 5(3x + -4) + 11 (21 + 3x) + 2x = 5(3x + -4) + 11 Combine like terms: 3x + 2x = 5x 21 + 5x = 5(3x + -4) + 11 Reorder the terms: 21 + 5x = 5(-4 + 3x) + 11 21 + 5x = (-4 * 5 + 3x * 5) + 11 21 + 5x = (-20 + 15x) + 11 Reorder the terms: 21 + 5x = -20 + 11 + 15x Combine like terms: -20 + 11 = -9 21 + 5x = -9 + 15x Solving 21 + 5x = -9 + 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 = -9 + 15x + -15x Combine like terms: 5x + -15x = -10x 21 + -10x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -10x = -9 + 0 21 + -10x = -9 Add '-21' to each side of the equation. 21 + -21 + -10x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -9 + -21 -10x = -9 + -21 Combine like terms: -9 + -21 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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