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Simplifying 6(5x + -8) + -20 = 11(2x + -3) + 3x Reorder the terms: 6(-8 + 5x) + -20 = 11(2x + -3) + 3x (-8 * 6 + 5x * 6) + -20 = 11(2x + -3) + 3x (-48 + 30x) + -20 = 11(2x + -3) + 3x Reorder the terms: -48 + -20 + 30x = 11(2x + -3) + 3x Combine like terms: -48 + -20 = -68 -68 + 30x = 11(2x + -3) + 3x Reorder the terms: -68 + 30x = 11(-3 + 2x) + 3x -68 + 30x = (-3 * 11 + 2x * 11) + 3x -68 + 30x = (-33 + 22x) + 3x Combine like terms: 22x + 3x = 25x -68 + 30x = -33 + 25x Solving -68 + 30x = -33 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -68 + 30x + -25x = -33 + 25x + -25x Combine like terms: 30x + -25x = 5x -68 + 5x = -33 + 25x + -25x Combine like terms: 25x + -25x = 0 -68 + 5x = -33 + 0 -68 + 5x = -33 Add '68' to each side of the equation. -68 + 68 + 5x = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 5x = -33 + 68 5x = -33 + 68 Combine like terms: -33 + 68 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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