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Simplifying 5(x + -6) + 2 = 6(x + -8) Reorder the terms: 5(-6 + x) + 2 = 6(x + -8) (-6 * 5 + x * 5) + 2 = 6(x + -8) (-30 + 5x) + 2 = 6(x + -8) Reorder the terms: -30 + 2 + 5x = 6(x + -8) Combine like terms: -30 + 2 = -28 -28 + 5x = 6(x + -8) Reorder the terms: -28 + 5x = 6(-8 + x) -28 + 5x = (-8 * 6 + x * 6) -28 + 5x = (-48 + 6x) Solving -28 + 5x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 5x + -6x = -48 + 6x + -6x Combine like terms: 5x + -6x = -1x -28 + -1x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -1x = -48 + 0 -28 + -1x = -48 Add '28' to each side of the equation. -28 + 28 + -1x = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -48 + 28 -1x = -48 + 28 Combine like terms: -48 + 28 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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