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Simplifying 5x + 1(70) = 3x + 4(70) Multiply 1 * 70 5x + 70 = 3x + 4(70) Reorder the terms: 70 + 5x = 3x + 4(70) Multiply 4 * 70 70 + 5x = 3x + 280 Reorder the terms: 70 + 5x = 280 + 3x Solving 70 + 5x = 280 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 70 + 5x + -3x = 280 + 3x + -3x Combine like terms: 5x + -3x = 2x 70 + 2x = 280 + 3x + -3x Combine like terms: 3x + -3x = 0 70 + 2x = 280 + 0 70 + 2x = 280 Add '-70' to each side of the equation. 70 + -70 + 2x = 280 + -70 Combine like terms: 70 + -70 = 0 0 + 2x = 280 + -70 2x = 280 + -70 Combine like terms: 280 + -70 = 210 2x = 210 Divide each side by '2'. x = 105 Simplifying x = 105
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