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Simplifying -2x + 8 = 4(3x + 1) + -5 Reorder the terms: 8 + -2x = 4(3x + 1) + -5 Reorder the terms: 8 + -2x = 4(1 + 3x) + -5 8 + -2x = (1 * 4 + 3x * 4) + -5 8 + -2x = (4 + 12x) + -5 Reorder the terms: 8 + -2x = 4 + -5 + 12x Combine like terms: 4 + -5 = -1 8 + -2x = -1 + 12x Solving 8 + -2x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -2x + -12x = -1 + 12x + -12x Combine like terms: -2x + -12x = -14x 8 + -14x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -14x = -1 + 0 8 + -14x = -1 Add '-8' to each side of the equation. 8 + -8 + -14x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -1 + -8 -14x = -1 + -8 Combine like terms: -1 + -8 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429
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