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Simplifying 12x + -7 + 5x + -6 = 4(4x + 6) + 8x + -17 Reorder the terms: -7 + -6 + 12x + 5x = 4(4x + 6) + 8x + -17 Combine like terms: -7 + -6 = -13 -13 + 12x + 5x = 4(4x + 6) + 8x + -17 Combine like terms: 12x + 5x = 17x -13 + 17x = 4(4x + 6) + 8x + -17 Reorder the terms: -13 + 17x = 4(6 + 4x) + 8x + -17 -13 + 17x = (6 * 4 + 4x * 4) + 8x + -17 -13 + 17x = (24 + 16x) + 8x + -17 Reorder the terms: -13 + 17x = 24 + -17 + 16x + 8x Combine like terms: 24 + -17 = 7 -13 + 17x = 7 + 16x + 8x Combine like terms: 16x + 8x = 24x -13 + 17x = 7 + 24x Solving -13 + 17x = 7 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -13 + 17x + -24x = 7 + 24x + -24x Combine like terms: 17x + -24x = -7x -13 + -7x = 7 + 24x + -24x Combine like terms: 24x + -24x = 0 -13 + -7x = 7 + 0 -13 + -7x = 7 Add '13' to each side of the equation. -13 + 13 + -7x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 7 + 13 -7x = 7 + 13 Combine like terms: 7 + 13 = 20 -7x = 20 Divide each side by '-7'. x = -2.857142857 Simplifying x = -2.857142857
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