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Simplifying 6x + -5 = 5(x + -3) + 3 Reorder the terms: -5 + 6x = 5(x + -3) + 3 Reorder the terms: -5 + 6x = 5(-3 + x) + 3 -5 + 6x = (-3 * 5 + x * 5) + 3 -5 + 6x = (-15 + 5x) + 3 Reorder the terms: -5 + 6x = -15 + 3 + 5x Combine like terms: -15 + 3 = -12 -5 + 6x = -12 + 5x Solving -5 + 6x = -12 + 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. -5 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -5 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 1x = -12 + 0 -5 + 1x = -12 Add '5' to each side of the equation. -5 + 5 + 1x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -12 + 5 1x = -12 + 5 Combine like terms: -12 + 5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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