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Simplifying 7(7x + 5) + -3 = 48x + 32 Reorder the terms: 7(5 + 7x) + -3 = 48x + 32 (5 * 7 + 7x * 7) + -3 = 48x + 32 (35 + 49x) + -3 = 48x + 32 Reorder the terms: 35 + -3 + 49x = 48x + 32 Combine like terms: 35 + -3 = 32 32 + 49x = 48x + 32 Reorder the terms: 32 + 49x = 32 + 48x Add '-32' to each side of the equation. 32 + -32 + 49x = 32 + -32 + 48x Combine like terms: 32 + -32 = 0 0 + 49x = 32 + -32 + 48x 49x = 32 + -32 + 48x Combine like terms: 32 + -32 = 0 49x = 0 + 48x 49x = 48x Solving 49x = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 49x + -48x = 48x + -48x Combine like terms: 49x + -48x = 1x 1x = 48x + -48x Combine like terms: 48x + -48x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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