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Simplifying 6(5 + -1x) + 15 = 5(2x + -7) (5 * 6 + -1x * 6) + 15 = 5(2x + -7) (30 + -6x) + 15 = 5(2x + -7) Reorder the terms: 30 + 15 + -6x = 5(2x + -7) Combine like terms: 30 + 15 = 45 45 + -6x = 5(2x + -7) Reorder the terms: 45 + -6x = 5(-7 + 2x) 45 + -6x = (-7 * 5 + 2x * 5) 45 + -6x = (-35 + 10x) Solving 45 + -6x = -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. 45 + -6x + -10x = -35 + 10x + -10x Combine like terms: -6x + -10x = -16x 45 + -16x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -16x = -35 + 0 45 + -16x = -35 Add '-45' to each side of the equation. 45 + -45 + -16x = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = -35 + -45 -16x = -35 + -45 Combine like terms: -35 + -45 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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