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Simplifying 6(9 + -1x) + -3(8x + -3) = 6x + -9 (9 * 6 + -1x * 6) + -3(8x + -3) = 6x + -9 (54 + -6x) + -3(8x + -3) = 6x + -9 Reorder the terms: 54 + -6x + -3(-3 + 8x) = 6x + -9 54 + -6x + (-3 * -3 + 8x * -3) = 6x + -9 54 + -6x + (9 + -24x) = 6x + -9 Reorder the terms: 54 + 9 + -6x + -24x = 6x + -9 Combine like terms: 54 + 9 = 63 63 + -6x + -24x = 6x + -9 Combine like terms: -6x + -24x = -30x 63 + -30x = 6x + -9 Reorder the terms: 63 + -30x = -9 + 6x Solving 63 + -30x = -9 + 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. 63 + -30x + -6x = -9 + 6x + -6x Combine like terms: -30x + -6x = -36x 63 + -36x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + -36x = -9 + 0 63 + -36x = -9 Add '-63' to each side of the equation. 63 + -63 + -36x = -9 + -63 Combine like terms: 63 + -63 = 0 0 + -36x = -9 + -63 -36x = -9 + -63 Combine like terms: -9 + -63 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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