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Simplifying 5(x + -6) = 2x + 18 + -3x Reorder the terms: 5(-6 + x) = 2x + 18 + -3x (-6 * 5 + x * 5) = 2x + 18 + -3x (-30 + 5x) = 2x + 18 + -3x Reorder the terms: -30 + 5x = 18 + 2x + -3x Combine like terms: 2x + -3x = -1x -30 + 5x = 18 + -1x Solving -30 + 5x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 5x + x = 18 + -1x + x Combine like terms: 5x + x = 6x -30 + 6x = 18 + -1x + x Combine like terms: -1x + x = 0 -30 + 6x = 18 + 0 -30 + 6x = 18 Add '30' to each side of the equation. -30 + 30 + 6x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 18 + 30 6x = 18 + 30 Combine like terms: 18 + 30 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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