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Simplifying 5(x + -8) + -3(2x + 12) = -84 Reorder the terms: 5(-8 + x) + -3(2x + 12) = -84 (-8 * 5 + x * 5) + -3(2x + 12) = -84 (-40 + 5x) + -3(2x + 12) = -84 Reorder the terms: -40 + 5x + -3(12 + 2x) = -84 -40 + 5x + (12 * -3 + 2x * -3) = -84 -40 + 5x + (-36 + -6x) = -84 Reorder the terms: -40 + -36 + 5x + -6x = -84 Combine like terms: -40 + -36 = -76 -76 + 5x + -6x = -84 Combine like terms: 5x + -6x = -1x -76 + -1x = -84 Solving -76 + -1x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + -1x = -84 + 76 Combine like terms: -76 + 76 = 0 0 + -1x = -84 + 76 -1x = -84 + 76 Combine like terms: -84 + 76 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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