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Simplifying 5x + 6 = 6(x + -3) + 2 Reorder the terms: 6 + 5x = 6(x + -3) + 2 Reorder the terms: 6 + 5x = 6(-3 + x) + 2 6 + 5x = (-3 * 6 + x * 6) + 2 6 + 5x = (-18 + 6x) + 2 Reorder the terms: 6 + 5x = -18 + 2 + 6x Combine like terms: -18 + 2 = -16 6 + 5x = -16 + 6x Solving 6 + 5x = -16 + 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. 6 + 5x + -6x = -16 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = -16 + 0 6 + -1x = -16 Add '-6' to each side of the equation. 6 + -6 + -1x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -16 + -6 -1x = -16 + -6 Combine like terms: -16 + -6 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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