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Simplifying 5x + -1(4x + 9) + 3 = 7x + -13 Reorder the terms: 5x + -1(9 + 4x) + 3 = 7x + -13 5x + (9 * -1 + 4x * -1) + 3 = 7x + -13 5x + (-9 + -4x) + 3 = 7x + -13 Reorder the terms: -9 + 3 + 5x + -4x = 7x + -13 Combine like terms: -9 + 3 = -6 -6 + 5x + -4x = 7x + -13 Combine like terms: 5x + -4x = 1x -6 + 1x = 7x + -13 Reorder the terms: -6 + 1x = -13 + 7x Solving -6 + 1x = -13 + 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. -6 + 1x + -7x = -13 + 7x + -7x Combine like terms: 1x + -7x = -6x -6 + -6x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -6x = -13 + 0 -6 + -6x = -13 Add '6' to each side of the equation. -6 + 6 + -6x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -13 + 6 -6x = -13 + 6 Combine like terms: -13 + 6 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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