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Simplifying 8(x + -6) + 18 = 3(2x + -8) Reorder the terms: 8(-6 + x) + 18 = 3(2x + -8) (-6 * 8 + x * 8) + 18 = 3(2x + -8) (-48 + 8x) + 18 = 3(2x + -8) Reorder the terms: -48 + 18 + 8x = 3(2x + -8) Combine like terms: -48 + 18 = -30 -30 + 8x = 3(2x + -8) Reorder the terms: -30 + 8x = 3(-8 + 2x) -30 + 8x = (-8 * 3 + 2x * 3) -30 + 8x = (-24 + 6x) Solving -30 + 8x = -24 + 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. -30 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x -30 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 2x = -24 + 0 -30 + 2x = -24 Add '30' to each side of the equation. -30 + 30 + 2x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -24 + 30 2x = -24 + 30 Combine like terms: -24 + 30 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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