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Simplifying 8(3x + -6) = 6x + 42 Reorder the terms: 8(-6 + 3x) = 6x + 42 (-6 * 8 + 3x * 8) = 6x + 42 (-48 + 24x) = 6x + 42 Reorder the terms: -48 + 24x = 42 + 6x Solving -48 + 24x = 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. -48 + 24x + -6x = 42 + 6x + -6x Combine like terms: 24x + -6x = 18x -48 + 18x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 18x = 42 + 0 -48 + 18x = 42 Add '48' to each side of the equation. -48 + 48 + 18x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 18x = 42 + 48 18x = 42 + 48 Combine like terms: 42 + 48 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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