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Simplifying 5(x + -1) + 2(4x + 3) = 7x Reorder the terms: 5(-1 + x) + 2(4x + 3) = 7x (-1 * 5 + x * 5) + 2(4x + 3) = 7x (-5 + 5x) + 2(4x + 3) = 7x Reorder the terms: -5 + 5x + 2(3 + 4x) = 7x -5 + 5x + (3 * 2 + 4x * 2) = 7x -5 + 5x + (6 + 8x) = 7x Reorder the terms: -5 + 6 + 5x + 8x = 7x Combine like terms: -5 + 6 = 1 1 + 5x + 8x = 7x Combine like terms: 5x + 8x = 13x 1 + 13x = 7x Solving 1 + 13x = 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. 1 + 13x + -7x = 7x + -7x Combine like terms: 13x + -7x = 6x 1 + 6x = 7x + -7x Combine like terms: 7x + -7x = 0 1 + 6x = 0 Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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