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Simplifying -6(x + 5) = 4(3x + -3) Reorder the terms: -6(5 + x) = 4(3x + -3) (5 * -6 + x * -6) = 4(3x + -3) (-30 + -6x) = 4(3x + -3) Reorder the terms: -30 + -6x = 4(-3 + 3x) -30 + -6x = (-3 * 4 + 3x * 4) -30 + -6x = (-12 + 12x) Solving -30 + -6x = -12 + 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. -30 + -6x + -12x = -12 + 12x + -12x Combine like terms: -6x + -12x = -18x -30 + -18x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -18x = -12 + 0 -30 + -18x = -12 Add '30' to each side of the equation. -30 + 30 + -18x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -18x = -12 + 30 -18x = -12 + 30 Combine like terms: -12 + 30 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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