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Simplifying 5x + 3(x + -4) = 2(3x + 18) Reorder the terms: 5x + 3(-4 + x) = 2(3x + 18) 5x + (-4 * 3 + x * 3) = 2(3x + 18) 5x + (-12 + 3x) = 2(3x + 18) Reorder the terms: -12 + 5x + 3x = 2(3x + 18) Combine like terms: 5x + 3x = 8x -12 + 8x = 2(3x + 18) Reorder the terms: -12 + 8x = 2(18 + 3x) -12 + 8x = (18 * 2 + 3x * 2) -12 + 8x = (36 + 6x) Solving -12 + 8x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 8x + -6x = 36 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 36 + 0 -12 + 2x = 36 Add '12' to each side of the equation. -12 + 12 + 2x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 36 + 12 2x = 36 + 12 Combine like terms: 36 + 12 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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