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Simplifying 7x + -6(x + 5) = 2(x + -15) Reorder the terms: 7x + -6(5 + x) = 2(x + -15) 7x + (5 * -6 + x * -6) = 2(x + -15) 7x + (-30 + -6x) = 2(x + -15) Reorder the terms: -30 + 7x + -6x = 2(x + -15) Combine like terms: 7x + -6x = 1x -30 + 1x = 2(x + -15) Reorder the terms: -30 + 1x = 2(-15 + x) -30 + 1x = (-15 * 2 + x * 2) -30 + 1x = (-30 + 2x) Add '30' to each side of the equation. -30 + 30 + 1x = -30 + 30 + 2x Combine like terms: -30 + 30 = 0 0 + 1x = -30 + 30 + 2x 1x = -30 + 30 + 2x Combine like terms: -30 + 30 = 0 1x = 0 + 2x 1x = 2x Solving 1x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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