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Simplifying 7x + -9 = 6(x + -10) + 3 Reorder the terms: -9 + 7x = 6(x + -10) + 3 Reorder the terms: -9 + 7x = 6(-10 + x) + 3 -9 + 7x = (-10 * 6 + x * 6) + 3 -9 + 7x = (-60 + 6x) + 3 Reorder the terms: -9 + 7x = -60 + 3 + 6x Combine like terms: -60 + 3 = -57 -9 + 7x = -57 + 6x Solving -9 + 7x = -57 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 7x + -6x = -57 + 6x + -6x Combine like terms: 7x + -6x = 1x -9 + 1x = -57 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 1x = -57 + 0 -9 + 1x = -57 Add '9' to each side of the equation. -9 + 9 + 1x = -57 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -57 + 9 1x = -57 + 9 Combine like terms: -57 + 9 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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