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Simplifying 4x + 5(2x + -6) = 18 + 6x Reorder the terms: 4x + 5(-6 + 2x) = 18 + 6x 4x + (-6 * 5 + 2x * 5) = 18 + 6x 4x + (-30 + 10x) = 18 + 6x Reorder the terms: -30 + 4x + 10x = 18 + 6x Combine like terms: 4x + 10x = 14x -30 + 14x = 18 + 6x Solving -30 + 14x = 18 + 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 + 14x + -6x = 18 + 6x + -6x Combine like terms: 14x + -6x = 8x -30 + 8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 8x = 18 + 0 -30 + 8x = 18 Add '30' to each side of the equation. -30 + 30 + 8x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 18 + 30 8x = 18 + 30 Combine like terms: 18 + 30 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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