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Simplifying 4(5x + 3) + 2(3x + -1) = 4x + -34 Reorder the terms: 4(3 + 5x) + 2(3x + -1) = 4x + -34 (3 * 4 + 5x * 4) + 2(3x + -1) = 4x + -34 (12 + 20x) + 2(3x + -1) = 4x + -34 Reorder the terms: 12 + 20x + 2(-1 + 3x) = 4x + -34 12 + 20x + (-1 * 2 + 3x * 2) = 4x + -34 12 + 20x + (-2 + 6x) = 4x + -34 Reorder the terms: 12 + -2 + 20x + 6x = 4x + -34 Combine like terms: 12 + -2 = 10 10 + 20x + 6x = 4x + -34 Combine like terms: 20x + 6x = 26x 10 + 26x = 4x + -34 Reorder the terms: 10 + 26x = -34 + 4x Solving 10 + 26x = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 26x + -4x = -34 + 4x + -4x Combine like terms: 26x + -4x = 22x 10 + 22x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 22x = -34 + 0 10 + 22x = -34 Add '-10' to each side of the equation. 10 + -10 + 22x = -34 + -10 Combine like terms: 10 + -10 = 0 0 + 22x = -34 + -10 22x = -34 + -10 Combine like terms: -34 + -10 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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