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Simplifying 6(4x + -3) + -3(3 + -7x) = 6x + 4(4 + -1x) Reorder the terms: 6(-3 + 4x) + -3(3 + -7x) = 6x + 4(4 + -1x) (-3 * 6 + 4x * 6) + -3(3 + -7x) = 6x + 4(4 + -1x) (-18 + 24x) + -3(3 + -7x) = 6x + 4(4 + -1x) -18 + 24x + (3 * -3 + -7x * -3) = 6x + 4(4 + -1x) -18 + 24x + (-9 + 21x) = 6x + 4(4 + -1x) Reorder the terms: -18 + -9 + 24x + 21x = 6x + 4(4 + -1x) Combine like terms: -18 + -9 = -27 -27 + 24x + 21x = 6x + 4(4 + -1x) Combine like terms: 24x + 21x = 45x -27 + 45x = 6x + 4(4 + -1x) -27 + 45x = 6x + (4 * 4 + -1x * 4) -27 + 45x = 6x + (16 + -4x) Reorder the terms: -27 + 45x = 16 + 6x + -4x Combine like terms: 6x + -4x = 2x -27 + 45x = 16 + 2x Solving -27 + 45x = 16 + 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. -27 + 45x + -2x = 16 + 2x + -2x Combine like terms: 45x + -2x = 43x -27 + 43x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 43x = 16 + 0 -27 + 43x = 16 Add '27' to each side of the equation. -27 + 27 + 43x = 16 + 27 Combine like terms: -27 + 27 = 0 0 + 43x = 16 + 27 43x = 16 + 27 Combine like terms: 16 + 27 = 43 43x = 43 Divide each side by '43'. x = 1 Simplifying x = 1
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