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Simplifying 6(3x + -2) = 21 + -5(3x + -2) Reorder the terms: 6(-2 + 3x) = 21 + -5(3x + -2) (-2 * 6 + 3x * 6) = 21 + -5(3x + -2) (-12 + 18x) = 21 + -5(3x + -2) Reorder the terms: -12 + 18x = 21 + -5(-2 + 3x) -12 + 18x = 21 + (-2 * -5 + 3x * -5) -12 + 18x = 21 + (10 + -15x) Combine like terms: 21 + 10 = 31 -12 + 18x = 31 + -15x Solving -12 + 18x = 31 + -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. -12 + 18x + 15x = 31 + -15x + 15x Combine like terms: 18x + 15x = 33x -12 + 33x = 31 + -15x + 15x Combine like terms: -15x + 15x = 0 -12 + 33x = 31 + 0 -12 + 33x = 31 Add '12' to each side of the equation. -12 + 12 + 33x = 31 + 12 Combine like terms: -12 + 12 = 0 0 + 33x = 31 + 12 33x = 31 + 12 Combine like terms: 31 + 12 = 43 33x = 43 Divide each side by '33'. x = 1.303030303 Simplifying x = 1.303030303
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