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Simplifying 3x + 7 = 7 + -1(4x + -9) Reorder the terms: 7 + 3x = 7 + -1(4x + -9) Reorder the terms: 7 + 3x = 7 + -1(-9 + 4x) 7 + 3x = 7 + (-9 * -1 + 4x * -1) 7 + 3x = 7 + (9 + -4x) Combine like terms: 7 + 9 = 16 7 + 3x = 16 + -4x Solving 7 + 3x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 3x + 4x = 16 + -4x + 4x Combine like terms: 3x + 4x = 7x 7 + 7x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 7x = 16 + 0 7 + 7x = 16 Add '-7' to each side of the equation. 7 + -7 + 7x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 16 + -7 7x = 16 + -7 Combine like terms: 16 + -7 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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