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Simplifying 8(x + 3) = 6(x + -7) Reorder the terms: 8(3 + x) = 6(x + -7) (3 * 8 + x * 8) = 6(x + -7) (24 + 8x) = 6(x + -7) Reorder the terms: 24 + 8x = 6(-7 + x) 24 + 8x = (-7 * 6 + x * 6) 24 + 8x = (-42 + 6x) Solving 24 + 8x = -42 + 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. 24 + 8x + -6x = -42 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = -42 + 0 24 + 2x = -42 Add '-24' to each side of the equation. 24 + -24 + 2x = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -42 + -24 2x = -42 + -24 Combine like terms: -42 + -24 = -66 2x = -66 Divide each side by '2'. x = -33 Simplifying x = -33
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