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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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