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