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Simplifying 5x + 4 = 7(x + -1) + -1x Reorder the terms: 4 + 5x = 7(x + -1) + -1x Reorder the terms: 4 + 5x = 7(-1 + x) + -1x 4 + 5x = (-1 * 7 + x * 7) + -1x 4 + 5x = (-7 + 7x) + -1x Combine like terms: 7x + -1x = 6x 4 + 5x = -7 + 6x Solving 4 + 5x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 5x + -6x = -7 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = -7 + 0 4 + -1x = -7 Add '-4' to each side of the equation. 4 + -4 + -1x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -7 + -4 -1x = -7 + -4 Combine like terms: -7 + -4 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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