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Simplifying 3x + 56 = 12x + 8(x + -10) Reorder the terms: 56 + 3x = 12x + 8(x + -10) Reorder the terms: 56 + 3x = 12x + 8(-10 + x) 56 + 3x = 12x + (-10 * 8 + x * 8) 56 + 3x = 12x + (-80 + 8x) Reorder the terms: 56 + 3x = -80 + 12x + 8x Combine like terms: 12x + 8x = 20x 56 + 3x = -80 + 20x Solving 56 + 3x = -80 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 56 + 3x + -20x = -80 + 20x + -20x Combine like terms: 3x + -20x = -17x 56 + -17x = -80 + 20x + -20x Combine like terms: 20x + -20x = 0 56 + -17x = -80 + 0 56 + -17x = -80 Add '-56' to each side of the equation. 56 + -56 + -17x = -80 + -56 Combine like terms: 56 + -56 = 0 0 + -17x = -80 + -56 -17x = -80 + -56 Combine like terms: -80 + -56 = -136 -17x = -136 Divide each side by '-17'. x = 8 Simplifying x = 8
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