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Simplifying 6(x + -5) + 5(x + -1) = 10x + -7 Reorder the terms: 6(-5 + x) + 5(x + -1) = 10x + -7 (-5 * 6 + x * 6) + 5(x + -1) = 10x + -7 (-30 + 6x) + 5(x + -1) = 10x + -7 Reorder the terms: -30 + 6x + 5(-1 + x) = 10x + -7 -30 + 6x + (-1 * 5 + x * 5) = 10x + -7 -30 + 6x + (-5 + 5x) = 10x + -7 Reorder the terms: -30 + -5 + 6x + 5x = 10x + -7 Combine like terms: -30 + -5 = -35 -35 + 6x + 5x = 10x + -7 Combine like terms: 6x + 5x = 11x -35 + 11x = 10x + -7 Reorder the terms: -35 + 11x = -7 + 10x Solving -35 + 11x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + 11x + -10x = -7 + 10x + -10x Combine like terms: 11x + -10x = 1x -35 + 1x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 1x = -7 + 0 -35 + 1x = -7 Add '35' to each side of the equation. -35 + 35 + 1x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -7 + 35 1x = -7 + 35 Combine like terms: -7 + 35 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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