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Simplifying 2(15x + -2) + 22x = 2(5 + x) + 30x + -4 Reorder the terms: 2(-2 + 15x) + 22x = 2(5 + x) + 30x + -4 (-2 * 2 + 15x * 2) + 22x = 2(5 + x) + 30x + -4 (-4 + 30x) + 22x = 2(5 + x) + 30x + -4 Combine like terms: 30x + 22x = 52x -4 + 52x = 2(5 + x) + 30x + -4 -4 + 52x = (5 * 2 + x * 2) + 30x + -4 -4 + 52x = (10 + 2x) + 30x + -4 Reorder the terms: -4 + 52x = 10 + -4 + 2x + 30x Combine like terms: 10 + -4 = 6 -4 + 52x = 6 + 2x + 30x Combine like terms: 2x + 30x = 32x -4 + 52x = 6 + 32x Solving -4 + 52x = 6 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -4 + 52x + -32x = 6 + 32x + -32x Combine like terms: 52x + -32x = 20x -4 + 20x = 6 + 32x + -32x Combine like terms: 32x + -32x = 0 -4 + 20x = 6 + 0 -4 + 20x = 6 Add '4' to each side of the equation. -4 + 4 + 20x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 6 + 4 20x = 6 + 4 Combine like terms: 6 + 4 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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