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Simplifying 6(x + -1) = 6x + 3 + -2(-9x + -3) Reorder the terms: 6(-1 + x) = 6x + 3 + -2(-9x + -3) (-1 * 6 + x * 6) = 6x + 3 + -2(-9x + -3) (-6 + 6x) = 6x + 3 + -2(-9x + -3) Reorder the terms: -6 + 6x = 6x + 3 + -2(-3 + -9x) -6 + 6x = 6x + 3 + (-3 * -2 + -9x * -2) -6 + 6x = 6x + 3 + (6 + 18x) Reorder the terms: -6 + 6x = 3 + 6 + 6x + 18x Combine like terms: 3 + 6 = 9 -6 + 6x = 9 + 6x + 18x Combine like terms: 6x + 18x = 24x -6 + 6x = 9 + 24x Solving -6 + 6x = 9 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -6 + 6x + -24x = 9 + 24x + -24x Combine like terms: 6x + -24x = -18x -6 + -18x = 9 + 24x + -24x Combine like terms: 24x + -24x = 0 -6 + -18x = 9 + 0 -6 + -18x = 9 Add '6' to each side of the equation. -6 + 6 + -18x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 9 + 6 -18x = 9 + 6 Combine like terms: 9 + 6 = 15 -18x = 15 Divide each side by '-18'. x = -0.8333333333 Simplifying x = -0.8333333333
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