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Simplifying 12 + 5x = 7(-6 + 8x) + 3 12 + 5x = (-6 * 7 + 8x * 7) + 3 12 + 5x = (-42 + 56x) + 3 Reorder the terms: 12 + 5x = -42 + 3 + 56x Combine like terms: -42 + 3 = -39 12 + 5x = -39 + 56x Solving 12 + 5x = -39 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 12 + 5x + -56x = -39 + 56x + -56x Combine like terms: 5x + -56x = -51x 12 + -51x = -39 + 56x + -56x Combine like terms: 56x + -56x = 0 12 + -51x = -39 + 0 12 + -51x = -39 Add '-12' to each side of the equation. 12 + -12 + -51x = -39 + -12 Combine like terms: 12 + -12 = 0 0 + -51x = -39 + -12 -51x = -39 + -12 Combine like terms: -39 + -12 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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