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Simplifying 30(x + 6) = 10(x + -4) Reorder the terms: 30(6 + x) = 10(x + -4) (6 * 30 + x * 30) = 10(x + -4) (180 + 30x) = 10(x + -4) Reorder the terms: 180 + 30x = 10(-4 + x) 180 + 30x = (-4 * 10 + x * 10) 180 + 30x = (-40 + 10x) Solving 180 + 30x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 180 + 30x + -10x = -40 + 10x + -10x Combine like terms: 30x + -10x = 20x 180 + 20x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 180 + 20x = -40 + 0 180 + 20x = -40 Add '-180' to each side of the equation. 180 + -180 + 20x = -40 + -180 Combine like terms: 180 + -180 = 0 0 + 20x = -40 + -180 20x = -40 + -180 Combine like terms: -40 + -180 = -220 20x = -220 Divide each side by '20'. x = -11 Simplifying x = -11
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