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