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Simplifying 45 + 3x = 7(x + 5) + 10 Reorder the terms: 45 + 3x = 7(5 + x) + 10 45 + 3x = (5 * 7 + x * 7) + 10 45 + 3x = (35 + 7x) + 10 Reorder the terms: 45 + 3x = 35 + 10 + 7x Combine like terms: 35 + 10 = 45 45 + 3x = 45 + 7x Add '-45' to each side of the equation. 45 + -45 + 3x = 45 + -45 + 7x Combine like terms: 45 + -45 = 0 0 + 3x = 45 + -45 + 7x 3x = 45 + -45 + 7x Combine like terms: 45 + -45 = 0 3x = 0 + 7x 3x = 7x Solving 3x = 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. 3x + -7x = 7x + -7x Combine like terms: 3x + -7x = -4x -4x = 7x + -7x Combine like terms: 7x + -7x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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