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Simplifying 4(4x + 3) + -3(x + -4) = -2(x + 3) Reorder the terms: 4(3 + 4x) + -3(x + -4) = -2(x + 3) (3 * 4 + 4x * 4) + -3(x + -4) = -2(x + 3) (12 + 16x) + -3(x + -4) = -2(x + 3) Reorder the terms: 12 + 16x + -3(-4 + x) = -2(x + 3) 12 + 16x + (-4 * -3 + x * -3) = -2(x + 3) 12 + 16x + (12 + -3x) = -2(x + 3) Reorder the terms: 12 + 12 + 16x + -3x = -2(x + 3) Combine like terms: 12 + 12 = 24 24 + 16x + -3x = -2(x + 3) Combine like terms: 16x + -3x = 13x 24 + 13x = -2(x + 3) Reorder the terms: 24 + 13x = -2(3 + x) 24 + 13x = (3 * -2 + x * -2) 24 + 13x = (-6 + -2x) Solving 24 + 13x = -6 + -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. 24 + 13x + 2x = -6 + -2x + 2x Combine like terms: 13x + 2x = 15x 24 + 15x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 15x = -6 + 0 24 + 15x = -6 Add '-24' to each side of the equation. 24 + -24 + 15x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = -6 + -24 15x = -6 + -24 Combine like terms: -6 + -24 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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