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Simplifying 5(x + 8) = 7x + 48 Reorder the terms: 5(8 + x) = 7x + 48 (8 * 5 + x * 5) = 7x + 48 (40 + 5x) = 7x + 48 Reorder the terms: 40 + 5x = 48 + 7x Solving 40 + 5x = 48 + 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. 40 + 5x + -7x = 48 + 7x + -7x Combine like terms: 5x + -7x = -2x 40 + -2x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -2x = 48 + 0 40 + -2x = 48 Add '-40' to each side of the equation. 40 + -40 + -2x = 48 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 48 + -40 -2x = 48 + -40 Combine like terms: 48 + -40 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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