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Simplifying 3(5x + -1) + 21 = 10x + -2 Reorder the terms: 3(-1 + 5x) + 21 = 10x + -2 (-1 * 3 + 5x * 3) + 21 = 10x + -2 (-3 + 15x) + 21 = 10x + -2 Reorder the terms: -3 + 21 + 15x = 10x + -2 Combine like terms: -3 + 21 = 18 18 + 15x = 10x + -2 Reorder the terms: 18 + 15x = -2 + 10x Solving 18 + 15x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 15x + -10x = -2 + 10x + -10x Combine like terms: 15x + -10x = 5x 18 + 5x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 5x = -2 + 0 18 + 5x = -2 Add '-18' to each side of the equation. 18 + -18 + 5x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -2 + -18 5x = -2 + -18 Combine like terms: -2 + -18 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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