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Simplifying 3x + 6 + -1(2x + 5) = 7(-5 + x) Reorder the terms: 3x + 6 + -1(5 + 2x) = 7(-5 + x) 3x + 6 + (5 * -1 + 2x * -1) = 7(-5 + x) 3x + 6 + (-5 + -2x) = 7(-5 + x) Reorder the terms: 6 + -5 + 3x + -2x = 7(-5 + x) Combine like terms: 6 + -5 = 1 1 + 3x + -2x = 7(-5 + x) Combine like terms: 3x + -2x = 1x 1 + 1x = 7(-5 + x) 1 + 1x = (-5 * 7 + x * 7) 1 + 1x = (-35 + 7x) Solving 1 + 1x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 1x + -7x = -35 + 7x + -7x Combine like terms: 1x + -7x = -6x 1 + -6x = -35 + 7x + -7x Combine like terms: 7x + -7x = 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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