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Simplifying 3(5x + 2) + -2 = -3x + 22 Reorder the terms: 3(2 + 5x) + -2 = -3x + 22 (2 * 3 + 5x * 3) + -2 = -3x + 22 (6 + 15x) + -2 = -3x + 22 Reorder the terms: 6 + -2 + 15x = -3x + 22 Combine like terms: 6 + -2 = 4 4 + 15x = -3x + 22 Reorder the terms: 4 + 15x = 22 + -3x Solving 4 + 15x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 15x + 3x = 22 + -3x + 3x Combine like terms: 15x + 3x = 18x 4 + 18x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 18x = 22 + 0 4 + 18x = 22 Add '-4' to each side of the equation. 4 + -4 + 18x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 22 + -4 18x = 22 + -4 Combine like terms: 22 + -4 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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