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Simplifying 2(15x + -2) + 22 = 2(5 + x) + 30x + -4 Reorder the terms: 2(-2 + 15x) + 22 = 2(5 + x) + 30x + -4 (-2 * 2 + 15x * 2) + 22 = 2(5 + x) + 30x + -4 (-4 + 30x) + 22 = 2(5 + x) + 30x + -4 Reorder the terms: -4 + 22 + 30x = 2(5 + x) + 30x + -4 Combine like terms: -4 + 22 = 18 18 + 30x = 2(5 + x) + 30x + -4 18 + 30x = (5 * 2 + x * 2) + 30x + -4 18 + 30x = (10 + 2x) + 30x + -4 Reorder the terms: 18 + 30x = 10 + -4 + 2x + 30x Combine like terms: 10 + -4 = 6 18 + 30x = 6 + 2x + 30x Combine like terms: 2x + 30x = 32x 18 + 30x = 6 + 32x Solving 18 + 30x = 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. 18 + 30x + -32x = 6 + 32x + -32x Combine like terms: 30x + -32x = -2x 18 + -2x = 6 + 32x + -32x Combine like terms: 32x + -32x = 0 18 + -2x = 6 + 0 18 + -2x = 6 Add '-18' to each side of the equation. 18 + -18 + -2x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 6 + -18 -2x = 6 + -18 Combine like terms: 6 + -18 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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