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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 = 30 30 + 16x + -6x = 18 + -2x Combine like terms: 16x + -6x = 10x 30 + 10x = 18 + -2x Solving 30 + 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. 30 + 10x + 2x = 18 + -2x + 2x Combine like terms: 10x + 2x = 12x 30 + 12x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 12x = 18 + 0 30 + 12x = 18 Add '-30' to each side of the equation. 30 + -30 + 12x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 18 + -30 12x = 18 + -30 Combine like terms: 18 + -30 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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