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Simplifying 3x + -1 = 19 + -1(4x + -9) Reorder the terms: -1 + 3x = 19 + -1(4x + -9) Reorder the terms: -1 + 3x = 19 + -1(-9 + 4x) -1 + 3x = 19 + (-9 * -1 + 4x * -1) -1 + 3x = 19 + (9 + -4x) Combine like terms: 19 + 9 = 28 -1 + 3x = 28 + -4x Solving -1 + 3x = 28 + -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. -1 + 3x + 4x = 28 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = 28 + 0 -1 + 7x = 28 Add '1' to each side of the equation. -1 + 1 + 7x = 28 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 28 + 1 7x = 28 + 1 Combine like terms: 28 + 1 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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