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Simplifying 10x + 6 = 5(x + -3) + 6 Reorder the terms: 6 + 10x = 5(x + -3) + 6 Reorder the terms: 6 + 10x = 5(-3 + x) + 6 6 + 10x = (-3 * 5 + x * 5) + 6 6 + 10x = (-15 + 5x) + 6 Reorder the terms: 6 + 10x = -15 + 6 + 5x Combine like terms: -15 + 6 = -9 6 + 10x = -9 + 5x Solving 6 + 10x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 10x + -5x = -9 + 5x + -5x Combine like terms: 10x + -5x = 5x 6 + 5x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 5x = -9 + 0 6 + 5x = -9 Add '-6' to each side of the equation. 6 + -6 + 5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -9 + -6 5x = -9 + -6 Combine like terms: -9 + -6 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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