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Simplifying 5(-5 + 6x) + -8 = 2x + -5 (-5 * 5 + 6x * 5) + -8 = 2x + -5 (-25 + 30x) + -8 = 2x + -5 Reorder the terms: -25 + -8 + 30x = 2x + -5 Combine like terms: -25 + -8 = -33 -33 + 30x = 2x + -5 Reorder the terms: -33 + 30x = -5 + 2x Solving -33 + 30x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 30x + -2x = -5 + 2x + -2x Combine like terms: 30x + -2x = 28x -33 + 28x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 28x = -5 + 0 -33 + 28x = -5 Add '33' to each side of the equation. -33 + 33 + 28x = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 28x = -5 + 33 28x = -5 + 33 Combine like terms: -5 + 33 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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