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Simplifying 4(3x + -1) + -5(x + 4) = 3[2 + -1(x + 3)] + -6x Reorder the terms: 4(-1 + 3x) + -5(x + 4) = 3[2 + -1(x + 3)] + -6x (-1 * 4 + 3x * 4) + -5(x + 4) = 3[2 + -1(x + 3)] + -6x (-4 + 12x) + -5(x + 4) = 3[2 + -1(x + 3)] + -6x Reorder the terms: -4 + 12x + -5(4 + x) = 3[2 + -1(x + 3)] + -6x -4 + 12x + (4 * -5 + x * -5) = 3[2 + -1(x + 3)] + -6x -4 + 12x + (-20 + -5x) = 3[2 + -1(x + 3)] + -6x Reorder the terms: -4 + -20 + 12x + -5x = 3[2 + -1(x + 3)] + -6x Combine like terms: -4 + -20 = -24 -24 + 12x + -5x = 3[2 + -1(x + 3)] + -6x Combine like terms: 12x + -5x = 7x -24 + 7x = 3[2 + -1(x + 3)] + -6x Reorder the terms: -24 + 7x = 3[2 + -1(3 + x)] + -6x -24 + 7x = 3[2 + (3 * -1 + x * -1)] + -6x -24 + 7x = 3[2 + (-3 + -1x)] + -6x Combine like terms: 2 + -3 = -1 -24 + 7x = 3[-1 + -1x] + -6x -24 + 7x = [-1 * 3 + -1x * 3] + -6x -24 + 7x = [-3 + -3x] + -6x Combine like terms: -3x + -6x = -9x -24 + 7x = -3 + -9x Solving -24 + 7x = -3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 7x + 9x = -3 + -9x + 9x Combine like terms: 7x + 9x = 16x -24 + 16x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 16x = -3 + 0 -24 + 16x = -3 Add '24' to each side of the equation. -24 + 24 + 16x = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -3 + 24 16x = -3 + 24 Combine like terms: -3 + 24 = 21 16x = 21 Divide each side by '16'. x = 1.3125 Simplifying x = 1.3125
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