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Simplifying 3(x + 3) + 1 = 4(2x + -5) Reorder the terms: 3(3 + x) + 1 = 4(2x + -5) (3 * 3 + x * 3) + 1 = 4(2x + -5) (9 + 3x) + 1 = 4(2x + -5) Reorder the terms: 9 + 1 + 3x = 4(2x + -5) Combine like terms: 9 + 1 = 10 10 + 3x = 4(2x + -5) Reorder the terms: 10 + 3x = 4(-5 + 2x) 10 + 3x = (-5 * 4 + 2x * 4) 10 + 3x = (-20 + 8x) Solving 10 + 3x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 3x + -8x = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = -20 + 0 10 + -5x = -20 Add '-10' to each side of the equation. 10 + -10 + -5x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -20 + -10 -5x = -20 + -10 Combine like terms: -20 + -10 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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