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Simplifying 5(x + -6) + 6 = 3(x + -4) Reorder the terms: 5(-6 + x) + 6 = 3(x + -4) (-6 * 5 + x * 5) + 6 = 3(x + -4) (-30 + 5x) + 6 = 3(x + -4) Reorder the terms: -30 + 6 + 5x = 3(x + -4) Combine like terms: -30 + 6 = -24 -24 + 5x = 3(x + -4) Reorder the terms: -24 + 5x = 3(-4 + x) -24 + 5x = (-4 * 3 + x * 3) -24 + 5x = (-12 + 3x) Solving -24 + 5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -24 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 2x = -12 + 0 -24 + 2x = -12 Add '24' to each side of the equation. -24 + 24 + 2x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -12 + 24 2x = -12 + 24 Combine like terms: -12 + 24 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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