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Simplifying 4(3 + -8x) + 7(2x + -9) = 6(1 + -2x) (3 * 4 + -8x * 4) + 7(2x + -9) = 6(1 + -2x) (12 + -32x) + 7(2x + -9) = 6(1 + -2x) Reorder the terms: 12 + -32x + 7(-9 + 2x) = 6(1 + -2x) 12 + -32x + (-9 * 7 + 2x * 7) = 6(1 + -2x) 12 + -32x + (-63 + 14x) = 6(1 + -2x) Reorder the terms: 12 + -63 + -32x + 14x = 6(1 + -2x) Combine like terms: 12 + -63 = -51 -51 + -32x + 14x = 6(1 + -2x) Combine like terms: -32x + 14x = -18x -51 + -18x = 6(1 + -2x) -51 + -18x = (1 * 6 + -2x * 6) -51 + -18x = (6 + -12x) Solving -51 + -18x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -51 + -18x + 12x = 6 + -12x + 12x Combine like terms: -18x + 12x = -6x -51 + -6x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -51 + -6x = 6 + 0 -51 + -6x = 6 Add '51' to each side of the equation. -51 + 51 + -6x = 6 + 51 Combine like terms: -51 + 51 = 0 0 + -6x = 6 + 51 -6x = 6 + 51 Combine like terms: 6 + 51 = 57 -6x = 57 Divide each side by '-6'. x = -9.5 Simplifying x = -9.5
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