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Simplifying 4(4x + 3) + -3(x + -4) = x + 4 Reorder the terms: 4(3 + 4x) + -3(x + -4) = x + 4 (3 * 4 + 4x * 4) + -3(x + -4) = x + 4 (12 + 16x) + -3(x + -4) = x + 4 Reorder the terms: 12 + 16x + -3(-4 + x) = x + 4 12 + 16x + (-4 * -3 + x * -3) = x + 4 12 + 16x + (12 + -3x) = x + 4 Reorder the terms: 12 + 12 + 16x + -3x = x + 4 Combine like terms: 12 + 12 = 24 24 + 16x + -3x = x + 4 Combine like terms: 16x + -3x = 13x 24 + 13x = x + 4 Reorder the terms: 24 + 13x = 4 + x Solving 24 + 13x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 13x + -1x = 4 + x + -1x Combine like terms: 13x + -1x = 12x 24 + 12x = 4 + x + -1x Combine like terms: x + -1x = 0 24 + 12x = 4 + 0 24 + 12x = 4 Add '-24' to each side of the equation. 24 + -24 + 12x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 4 + -24 12x = 4 + -24 Combine like terms: 4 + -24 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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