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Simplifying 6x + 5(2x + -8) = 12 + -4(2x + -9) Reorder the terms: 6x + 5(-8 + 2x) = 12 + -4(2x + -9) 6x + (-8 * 5 + 2x * 5) = 12 + -4(2x + -9) 6x + (-40 + 10x) = 12 + -4(2x + -9) Reorder the terms: -40 + 6x + 10x = 12 + -4(2x + -9) Combine like terms: 6x + 10x = 16x -40 + 16x = 12 + -4(2x + -9) Reorder the terms: -40 + 16x = 12 + -4(-9 + 2x) -40 + 16x = 12 + (-9 * -4 + 2x * -4) -40 + 16x = 12 + (36 + -8x) Combine like terms: 12 + 36 = 48 -40 + 16x = 48 + -8x Solving -40 + 16x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + 16x + 8x = 48 + -8x + 8x Combine like terms: 16x + 8x = 24x -40 + 24x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + 24x = 48 + 0 -40 + 24x = 48 Add '40' to each side of the equation. -40 + 40 + 24x = 48 + 40 Combine like terms: -40 + 40 = 0 0 + 24x = 48 + 40 24x = 48 + 40 Combine like terms: 48 + 40 = 88 24x = 88 Divide each side by '24'. x = 3.666666667 Simplifying x = 3.666666667
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