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Simplifying 6x + -5(x + 7) = 30 + 4(5x + -2) Reorder the terms: 6x + -5(7 + x) = 30 + 4(5x + -2) 6x + (7 * -5 + x * -5) = 30 + 4(5x + -2) 6x + (-35 + -5x) = 30 + 4(5x + -2) Reorder the terms: -35 + 6x + -5x = 30 + 4(5x + -2) Combine like terms: 6x + -5x = 1x -35 + 1x = 30 + 4(5x + -2) Reorder the terms: -35 + 1x = 30 + 4(-2 + 5x) -35 + 1x = 30 + (-2 * 4 + 5x * 4) -35 + 1x = 30 + (-8 + 20x) Combine like terms: 30 + -8 = 22 -35 + 1x = 22 + 20x Solving -35 + 1x = 22 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -35 + 1x + -20x = 22 + 20x + -20x Combine like terms: 1x + -20x = -19x -35 + -19x = 22 + 20x + -20x Combine like terms: 20x + -20x = 0 -35 + -19x = 22 + 0 -35 + -19x = 22 Add '35' to each side of the equation. -35 + 35 + -19x = 22 + 35 Combine like terms: -35 + 35 = 0 0 + -19x = 22 + 35 -19x = 22 + 35 Combine like terms: 22 + 35 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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