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Simplifying -7(x + 6) + 48 = 10 + -8x Reorder the terms: -7(6 + x) + 48 = 10 + -8x (6 * -7 + x * -7) + 48 = 10 + -8x (-42 + -7x) + 48 = 10 + -8x Reorder the terms: -42 + 48 + -7x = 10 + -8x Combine like terms: -42 + 48 = 6 6 + -7x = 10 + -8x Solving 6 + -7x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -7x + 8x = 10 + -8x + 8x Combine like terms: -7x + 8x = 1x 6 + 1x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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