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Simplifying 4(3x + -1) + -5(x + 4) = 3[4 + -1(x + 4)] Reorder the terms: 4(-1 + 3x) + -5(x + 4) = 3[4 + -1(x + 4)] (-1 * 4 + 3x * 4) + -5(x + 4) = 3[4 + -1(x + 4)] (-4 + 12x) + -5(x + 4) = 3[4 + -1(x + 4)] Reorder the terms: -4 + 12x + -5(4 + x) = 3[4 + -1(x + 4)] -4 + 12x + (4 * -5 + x * -5) = 3[4 + -1(x + 4)] -4 + 12x + (-20 + -5x) = 3[4 + -1(x + 4)] Reorder the terms: -4 + -20 + 12x + -5x = 3[4 + -1(x + 4)] Combine like terms: -4 + -20 = -24 -24 + 12x + -5x = 3[4 + -1(x + 4)] Combine like terms: 12x + -5x = 7x -24 + 7x = 3[4 + -1(x + 4)] Reorder the terms: -24 + 7x = 3[4 + -1(4 + x)] -24 + 7x = 3[4 + (4 * -1 + x * -1)] -24 + 7x = 3[4 + (-4 + -1x)] Combine like terms: 4 + -4 = 0 -24 + 7x = 3[0 + -1x] -24 + 7x = 3[-1x] Remove brackets around [-1x] -24 + 7x = 3 * -1x Multiply 3 * -1 -24 + 7x = -3x Solving -24 + 7x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 7x + 3x = -3x + 3x Combine like terms: 7x + 3x = 10x -24 + 10x = -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 10x = 0 Add '24' to each side of the equation. -24 + 24 + 10x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 0 + 24 10x = 0 + 24 Combine like terms: 0 + 24 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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