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Simplifying 7x + -5(8x + -3) + -6(12 + 3) = 6x Reorder the terms: 7x + -5(-3 + 8x) + -6(12 + 3) = 6x 7x + (-3 * -5 + 8x * -5) + -6(12 + 3) = 6x 7x + (15 + -40x) + -6(12 + 3) = 6x Combine like terms: 12 + 3 = 15 7x + 15 + -40x + -6(15) = 6x Multiply -6 * 15 7x + 15 + -40x + -90 = 6x Reorder the terms: 15 + -90 + 7x + -40x = 6x Combine like terms: 15 + -90 = -75 -75 + 7x + -40x = 6x Combine like terms: 7x + -40x = -33x -75 + -33x = 6x Solving -75 + -33x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -75 + -33x + -6x = 6x + -6x Combine like terms: -33x + -6x = -39x -75 + -39x = 6x + -6x Combine like terms: 6x + -6x = 0 -75 + -39x = 0 Add '75' to each side of the equation. -75 + 75 + -39x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -39x = 0 + 75 -39x = 0 + 75 Combine like terms: 0 + 75 = 75 -39x = 75 Divide each side by '-39'. x = -1.923076923 Simplifying x = -1.923076923
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