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Simplifying 4(4x + 3) + -6(x + 3) = 18 + -2x Reorder the terms: 4(3 + 4x) + -6(x + 3) = 18 + -2x (3 * 4 + 4x * 4) + -6(x + 3) = 18 + -2x (12 + 16x) + -6(x + 3) = 18 + -2x Reorder the terms: 12 + 16x + -6(3 + x) = 18 + -2x 12 + 16x + (3 * -6 + x * -6) = 18 + -2x 12 + 16x + (-18 + -6x) = 18 + -2x Reorder the terms: 12 + -18 + 16x + -6x = 18 + -2x Combine like terms: 12 + -18 = -6 -6 + 16x + -6x = 18 + -2x Combine like terms: 16x + -6x = 10x -6 + 10x = 18 + -2x Solving -6 + 10x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 10x + 2x = 18 + -2x + 2x Combine like terms: 10x + 2x = 12x -6 + 12x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 12x = 18 + 0 -6 + 12x = 18 Add '6' to each side of the equation. -6 + 6 + 12x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 18 + 6 12x = 18 + 6 Combine like terms: 18 + 6 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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