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Simplifying 3x + -18 = 5(x + -4) + -8 Reorder the terms: -18 + 3x = 5(x + -4) + -8 Reorder the terms: -18 + 3x = 5(-4 + x) + -8 -18 + 3x = (-4 * 5 + x * 5) + -8 -18 + 3x = (-20 + 5x) + -8 Reorder the terms: -18 + 3x = -20 + -8 + 5x Combine like terms: -20 + -8 = -28 -18 + 3x = -28 + 5x Solving -18 + 3x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 3x + -5x = -28 + 5x + -5x Combine like terms: 3x + -5x = -2x -18 + -2x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -2x = -28 + 0 -18 + -2x = -28 Add '18' to each side of the equation. -18 + 18 + -2x = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -28 + 18 -2x = -28 + 18 Combine like terms: -28 + 18 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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