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Simplifying 5(8x + -3) = 10(x + -4) Reorder the terms: 5(-3 + 8x) = 10(x + -4) (-3 * 5 + 8x * 5) = 10(x + -4) (-15 + 40x) = 10(x + -4) Reorder the terms: -15 + 40x = 10(-4 + x) -15 + 40x = (-4 * 10 + x * 10) -15 + 40x = (-40 + 10x) Solving -15 + 40x = -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. -15 + 40x + -10x = -40 + 10x + -10x Combine like terms: 40x + -10x = 30x -15 + 30x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 30x = -40 + 0 -15 + 30x = -40 Add '15' to each side of the equation. -15 + 15 + 30x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = -40 + 15 30x = -40 + 15 Combine like terms: -40 + 15 = -25 30x = -25 Divide each side by '30'. x = -0.8333333333 Simplifying x = -0.8333333333
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