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Simplifying 7(x + 5) + -8x = 5(2x + 1) + -6x Reorder the terms: 7(5 + x) + -8x = 5(2x + 1) + -6x (5 * 7 + x * 7) + -8x = 5(2x + 1) + -6x (35 + 7x) + -8x = 5(2x + 1) + -6x Combine like terms: 7x + -8x = -1x 35 + -1x = 5(2x + 1) + -6x Reorder the terms: 35 + -1x = 5(1 + 2x) + -6x 35 + -1x = (1 * 5 + 2x * 5) + -6x 35 + -1x = (5 + 10x) + -6x Combine like terms: 10x + -6x = 4x 35 + -1x = 5 + 4x Solving 35 + -1x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + -1x + -4x = 5 + 4x + -4x Combine like terms: -1x + -4x = -5x 35 + -5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -5x = 5 + 0 35 + -5x = 5 Add '-35' to each side of the equation. 35 + -35 + -5x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 5 + -35 -5x = 5 + -35 Combine like terms: 5 + -35 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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