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Simplifying 5(x + 8) = 6x + -5 Reorder the terms: 5(8 + x) = 6x + -5 (8 * 5 + x * 5) = 6x + -5 (40 + 5x) = 6x + -5 Reorder the terms: 40 + 5x = -5 + 6x Solving 40 + 5x = -5 + 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. 40 + 5x + -6x = -5 + 6x + -6x Combine like terms: 5x + -6x = -1x 40 + -1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -1x = -5 + 0 40 + -1x = -5 Add '-40' to each side of the equation. 40 + -40 + -1x = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = -5 + -40 -1x = -5 + -40 Combine like terms: -5 + -40 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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