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Simplifying 4(3x + 8) + -4 = 7(2x + -1) + 3x Reorder the terms: 4(8 + 3x) + -4 = 7(2x + -1) + 3x (8 * 4 + 3x * 4) + -4 = 7(2x + -1) + 3x (32 + 12x) + -4 = 7(2x + -1) + 3x Reorder the terms: 32 + -4 + 12x = 7(2x + -1) + 3x Combine like terms: 32 + -4 = 28 28 + 12x = 7(2x + -1) + 3x Reorder the terms: 28 + 12x = 7(-1 + 2x) + 3x 28 + 12x = (-1 * 7 + 2x * 7) + 3x 28 + 12x = (-7 + 14x) + 3x Combine like terms: 14x + 3x = 17x 28 + 12x = -7 + 17x Solving 28 + 12x = -7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 28 + 12x + -17x = -7 + 17x + -17x Combine like terms: 12x + -17x = -5x 28 + -5x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 28 + -5x = -7 + 0 28 + -5x = -7 Add '-28' to each side of the equation. 28 + -28 + -5x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = -7 + -28 -5x = -7 + -28 Combine like terms: -7 + -28 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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