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Simplifying 6(x + -30) + -5(x + 8) = 42 Reorder the terms: 6(-30 + x) + -5(x + 8) = 42 (-30 * 6 + x * 6) + -5(x + 8) = 42 (-180 + 6x) + -5(x + 8) = 42 Reorder the terms: -180 + 6x + -5(8 + x) = 42 -180 + 6x + (8 * -5 + x * -5) = 42 -180 + 6x + (-40 + -5x) = 42 Reorder the terms: -180 + -40 + 6x + -5x = 42 Combine like terms: -180 + -40 = -220 -220 + 6x + -5x = 42 Combine like terms: 6x + -5x = 1x -220 + 1x = 42 Solving -220 + 1x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '220' to each side of the equation. -220 + 220 + 1x = 42 + 220 Combine like terms: -220 + 220 = 0 0 + 1x = 42 + 220 1x = 42 + 220 Combine like terms: 42 + 220 = 262 1x = 262 Divide each side by '1'. x = 262 Simplifying x = 262
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