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Simplifying 8(x + -6) = 7(x + -2) Reorder the terms: 8(-6 + x) = 7(x + -2) (-6 * 8 + x * 8) = 7(x + -2) (-48 + 8x) = 7(x + -2) Reorder the terms: -48 + 8x = 7(-2 + x) -48 + 8x = (-2 * 7 + x * 7) -48 + 8x = (-14 + 7x) Solving -48 + 8x = -14 + 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. -48 + 8x + -7x = -14 + 7x + -7x Combine like terms: 8x + -7x = 1x -48 + 1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 1x = -14 + 0 -48 + 1x = -14 Add '48' to each side of the equation. -48 + 48 + 1x = -14 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -14 + 48 1x = -14 + 48 Combine like terms: -14 + 48 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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