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Simplifying 5(2x + -7) = 33 + -3(6x + -4) Reorder the terms: 5(-7 + 2x) = 33 + -3(6x + -4) (-7 * 5 + 2x * 5) = 33 + -3(6x + -4) (-35 + 10x) = 33 + -3(6x + -4) Reorder the terms: -35 + 10x = 33 + -3(-4 + 6x) -35 + 10x = 33 + (-4 * -3 + 6x * -3) -35 + 10x = 33 + (12 + -18x) Combine like terms: 33 + 12 = 45 -35 + 10x = 45 + -18x Solving -35 + 10x = 45 + -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. -35 + 10x + 18x = 45 + -18x + 18x Combine like terms: 10x + 18x = 28x -35 + 28x = 45 + -18x + 18x Combine like terms: -18x + 18x = 0 -35 + 28x = 45 + 0 -35 + 28x = 45 Add '35' to each side of the equation. -35 + 35 + 28x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 28x = 45 + 35 28x = 45 + 35 Combine like terms: 45 + 35 = 80 28x = 80 Divide each side by '28'. x = 2.857142857 Simplifying x = 2.857142857
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