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Simplifying 4x + 7 = 6 + -1(3x + -9) Reorder the terms: 7 + 4x = 6 + -1(3x + -9) Reorder the terms: 7 + 4x = 6 + -1(-9 + 3x) 7 + 4x = 6 + (-9 * -1 + 3x * -1) 7 + 4x = 6 + (9 + -3x) Combine like terms: 6 + 9 = 15 7 + 4x = 15 + -3x Solving 7 + 4x = 15 + -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. 7 + 4x + 3x = 15 + -3x + 3x Combine like terms: 4x + 3x = 7x 7 + 7x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 7x = 15 + 0 7 + 7x = 15 Add '-7' to each side of the equation. 7 + -7 + 7x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 15 + -7 7x = 15 + -7 Combine like terms: 15 + -7 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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