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Simplifying 3(2x + -1) + 21 = 5(3x + -2) + 2 Reorder the terms: 3(-1 + 2x) + 21 = 5(3x + -2) + 2 (-1 * 3 + 2x * 3) + 21 = 5(3x + -2) + 2 (-3 + 6x) + 21 = 5(3x + -2) + 2 Reorder the terms: -3 + 21 + 6x = 5(3x + -2) + 2 Combine like terms: -3 + 21 = 18 18 + 6x = 5(3x + -2) + 2 Reorder the terms: 18 + 6x = 5(-2 + 3x) + 2 18 + 6x = (-2 * 5 + 3x * 5) + 2 18 + 6x = (-10 + 15x) + 2 Reorder the terms: 18 + 6x = -10 + 2 + 15x Combine like terms: -10 + 2 = -8 18 + 6x = -8 + 15x Solving 18 + 6x = -8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 6x + -15x = -8 + 15x + -15x Combine like terms: 6x + -15x = -9x 18 + -9x = -8 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -9x = -8 + 0 18 + -9x = -8 Add '-18' to each side of the equation. 18 + -18 + -9x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = -8 + -18 -9x = -8 + -18 Combine like terms: -8 + -18 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889
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