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Simplifying 8(x + -2) = 7(x + -6) Reorder the terms: 8(-2 + x) = 7(x + -6) (-2 * 8 + x * 8) = 7(x + -6) (-16 + 8x) = 7(x + -6) Reorder the terms: -16 + 8x = 7(-6 + x) -16 + 8x = (-6 * 7 + x * 7) -16 + 8x = (-42 + 7x) Solving -16 + 8x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 8x + -7x = -42 + 7x + -7x Combine like terms: 8x + -7x = 1x -16 + 1x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 1x = -42 + 0 -16 + 1x = -42 Add '16' to each side of the equation. -16 + 16 + 1x = -42 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -42 + 16 1x = -42 + 16 Combine like terms: -42 + 16 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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