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Simplifying 8(3x + -2) = 3(x + 3) + -18 Reorder the terms: 8(-2 + 3x) = 3(x + 3) + -18 (-2 * 8 + 3x * 8) = 3(x + 3) + -18 (-16 + 24x) = 3(x + 3) + -18 Reorder the terms: -16 + 24x = 3(3 + x) + -18 -16 + 24x = (3 * 3 + x * 3) + -18 -16 + 24x = (9 + 3x) + -18 Reorder the terms: -16 + 24x = 9 + -18 + 3x Combine like terms: 9 + -18 = -9 -16 + 24x = -9 + 3x Solving -16 + 24x = -9 + 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. -16 + 24x + -3x = -9 + 3x + -3x Combine like terms: 24x + -3x = 21x -16 + 21x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 21x = -9 + 0 -16 + 21x = -9 Add '16' to each side of the equation. -16 + 16 + 21x = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 21x = -9 + 16 21x = -9 + 16 Combine like terms: -9 + 16 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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