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Simplifying 8(5 + -6x) = 6(8 + -5x) (5 * 8 + -6x * 8) = 6(8 + -5x) (40 + -48x) = 6(8 + -5x) 40 + -48x = (8 * 6 + -5x * 6) 40 + -48x = (48 + -30x) Solving 40 + -48x = 48 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 40 + -48x + 30x = 48 + -30x + 30x Combine like terms: -48x + 30x = -18x 40 + -18x = 48 + -30x + 30x Combine like terms: -30x + 30x = 0 40 + -18x = 48 + 0 40 + -18x = 48 Add '-40' to each side of the equation. 40 + -40 + -18x = 48 + -40 Combine like terms: 40 + -40 = 0 0 + -18x = 48 + -40 -18x = 48 + -40 Combine like terms: 48 + -40 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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