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Simplifying 5(x + -8) + 10 = 6(x + 2) Reorder the terms: 5(-8 + x) + 10 = 6(x + 2) (-8 * 5 + x * 5) + 10 = 6(x + 2) (-40 + 5x) + 10 = 6(x + 2) Reorder the terms: -40 + 10 + 5x = 6(x + 2) Combine like terms: -40 + 10 = -30 -30 + 5x = 6(x + 2) Reorder the terms: -30 + 5x = 6(2 + x) -30 + 5x = (2 * 6 + x * 6) -30 + 5x = (12 + 6x) Solving -30 + 5x = 12 + 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. -30 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x -30 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -1x = 12 + 0 -30 + -1x = 12 Add '30' to each side of the equation. -30 + 30 + -1x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 12 + 30 -1x = 12 + 30 Combine like terms: 12 + 30 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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