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Simplifying 6(x + -6) + 8 = 4(x + -5) Reorder the terms: 6(-6 + x) + 8 = 4(x + -5) (-6 * 6 + x * 6) + 8 = 4(x + -5) (-36 + 6x) + 8 = 4(x + -5) Reorder the terms: -36 + 8 + 6x = 4(x + -5) Combine like terms: -36 + 8 = -28 -28 + 6x = 4(x + -5) Reorder the terms: -28 + 6x = 4(-5 + x) -28 + 6x = (-5 * 4 + x * 4) -28 + 6x = (-20 + 4x) Solving -28 + 6x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -28 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 2x = -20 + 0 -28 + 2x = -20 Add '28' to each side of the equation. -28 + 28 + 2x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -20 + 28 2x = -20 + 28 Combine like terms: -20 + 28 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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