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Simplifying 6x + 12 = 5(x + -5) + 4 Reorder the terms: 12 + 6x = 5(x + -5) + 4 Reorder the terms: 12 + 6x = 5(-5 + x) + 4 12 + 6x = (-5 * 5 + x * 5) + 4 12 + 6x = (-25 + 5x) + 4 Reorder the terms: 12 + 6x = -25 + 4 + 5x Combine like terms: -25 + 4 = -21 12 + 6x = -21 + 5x Solving 12 + 6x = -21 + 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. 12 + 6x + -5x = -21 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = -21 + 0 12 + 1x = -21 Add '-12' to each side of the equation. 12 + -12 + 1x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -21 + -12 1x = -21 + -12 Combine like terms: -21 + -12 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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