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Simplifying 5(x + -20 + -3x + 4) = 3(6x + -8) + 10 Reorder the terms: 5(-20 + 4 + x + -3x) = 3(6x + -8) + 10 Combine like terms: -20 + 4 = -16 5(-16 + x + -3x) = 3(6x + -8) + 10 Combine like terms: x + -3x = -2x 5(-16 + -2x) = 3(6x + -8) + 10 (-16 * 5 + -2x * 5) = 3(6x + -8) + 10 (-80 + -10x) = 3(6x + -8) + 10 Reorder the terms: -80 + -10x = 3(-8 + 6x) + 10 -80 + -10x = (-8 * 3 + 6x * 3) + 10 -80 + -10x = (-24 + 18x) + 10 Reorder the terms: -80 + -10x = -24 + 10 + 18x Combine like terms: -24 + 10 = -14 -80 + -10x = -14 + 18x Solving -80 + -10x = -14 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -80 + -10x + -18x = -14 + 18x + -18x Combine like terms: -10x + -18x = -28x -80 + -28x = -14 + 18x + -18x Combine like terms: 18x + -18x = 0 -80 + -28x = -14 + 0 -80 + -28x = -14 Add '80' to each side of the equation. -80 + 80 + -28x = -14 + 80 Combine like terms: -80 + 80 = 0 0 + -28x = -14 + 80 -28x = -14 + 80 Combine like terms: -14 + 80 = 66 -28x = 66 Divide each side by '-28'. x = -2.357142857 Simplifying x = -2.357142857
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