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Simplifying 5x + -1(x + -1) = 10x + -35 Reorder the terms: 5x + -1(-1 + x) = 10x + -35 5x + (-1 * -1 + x * -1) = 10x + -35 5x + (1 + -1x) = 10x + -35 Reorder the terms: 1 + 5x + -1x = 10x + -35 Combine like terms: 5x + -1x = 4x 1 + 4x = 10x + -35 Reorder the terms: 1 + 4x = -35 + 10x Solving 1 + 4x = -35 + 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. 1 + 4x + -10x = -35 + 10x + -10x Combine like terms: 4x + -10x = -6x 1 + -6x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -6x = -35 + 0 1 + -6x = -35 Add '-1' to each side of the equation. 1 + -1 + -6x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -35 + -1 -6x = -35 + -1 Combine like terms: -35 + -1 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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