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Simplifying 8(x + -6) = 7x + -61 Reorder the terms: 8(-6 + x) = 7x + -61 (-6 * 8 + x * 8) = 7x + -61 (-48 + 8x) = 7x + -61 Reorder the terms: -48 + 8x = -61 + 7x Solving -48 + 8x = -61 + 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 = -61 + 7x + -7x Combine like terms: 8x + -7x = 1x -48 + 1x = -61 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 1x = -61 + 0 -48 + 1x = -61 Add '48' to each side of the equation. -48 + 48 + 1x = -61 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -61 + 48 1x = -61 + 48 Combine like terms: -61 + 48 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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