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Simplifying -6 = 6x + -5(x + 3) Reorder the terms: -6 = 6x + -5(3 + x) -6 = 6x + (3 * -5 + x * -5) -6 = 6x + (-15 + -5x) Reorder the terms: -6 = -15 + 6x + -5x Combine like terms: 6x + -5x = 1x -6 = -15 + 1x Solving -6 = -15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -1x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -1x = -15 + 0 -6 + -1x = -15 Add '6' to each side of the equation. -6 + 6 + -1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -15 + 6 -1x = -15 + 6 Combine like terms: -15 + 6 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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