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Simplifying 8(2x + -3) + -4x = 6x + 18 Reorder the terms: 8(-3 + 2x) + -4x = 6x + 18 (-3 * 8 + 2x * 8) + -4x = 6x + 18 (-24 + 16x) + -4x = 6x + 18 Combine like terms: 16x + -4x = 12x -24 + 12x = 6x + 18 Reorder the terms: -24 + 12x = 18 + 6x Solving -24 + 12x = 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. -24 + 12x + -6x = 18 + 6x + -6x Combine like terms: 12x + -6x = 6x -24 + 6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 6x = 18 + 0 -24 + 6x = 18 Add '24' to each side of the equation. -24 + 24 + 6x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 18 + 24 6x = 18 + 24 Combine like terms: 18 + 24 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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