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Simplifying 5(4x + 2) + 2x = 3(10x + -1) + -11 Reorder the terms: 5(2 + 4x) + 2x = 3(10x + -1) + -11 (2 * 5 + 4x * 5) + 2x = 3(10x + -1) + -11 (10 + 20x) + 2x = 3(10x + -1) + -11 Combine like terms: 20x + 2x = 22x 10 + 22x = 3(10x + -1) + -11 Reorder the terms: 10 + 22x = 3(-1 + 10x) + -11 10 + 22x = (-1 * 3 + 10x * 3) + -11 10 + 22x = (-3 + 30x) + -11 Reorder the terms: 10 + 22x = -3 + -11 + 30x Combine like terms: -3 + -11 = -14 10 + 22x = -14 + 30x Solving 10 + 22x = -14 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + 22x + -30x = -14 + 30x + -30x Combine like terms: 22x + -30x = -8x 10 + -8x = -14 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -8x = -14 + 0 10 + -8x = -14 Add '-10' to each side of the equation. 10 + -10 + -8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -14 + -10 -8x = -14 + -10 Combine like terms: -14 + -10 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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