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Simplifying 6(x + -8) = 8x + -42 Reorder the terms: 6(-8 + x) = 8x + -42 (-8 * 6 + x * 6) = 8x + -42 (-48 + 6x) = 8x + -42 Reorder the terms: -48 + 6x = -42 + 8x Solving -48 + 6x = -42 + 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. -48 + 6x + -8x = -42 + 8x + -8x Combine like terms: 6x + -8x = -2x -48 + -2x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 -48 + -2x = -42 + 0 -48 + -2x = -42 Add '48' to each side of the equation. -48 + 48 + -2x = -42 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = -42 + 48 -2x = -42 + 48 Combine like terms: -42 + 48 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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