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Simplifying 7x + -4(2x + 8) + 15 = 12 + 2x + -8 Reorder the terms: 7x + -4(8 + 2x) + 15 = 12 + 2x + -8 7x + (8 * -4 + 2x * -4) + 15 = 12 + 2x + -8 7x + (-32 + -8x) + 15 = 12 + 2x + -8 Reorder the terms: -32 + 15 + 7x + -8x = 12 + 2x + -8 Combine like terms: -32 + 15 = -17 -17 + 7x + -8x = 12 + 2x + -8 Combine like terms: 7x + -8x = -1x -17 + -1x = 12 + 2x + -8 Reorder the terms: -17 + -1x = 12 + -8 + 2x Combine like terms: 12 + -8 = 4 -17 + -1x = 4 + 2x Solving -17 + -1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -1x + -2x = 4 + 2x + -2x Combine like terms: -1x + -2x = -3x -17 + -3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -3x = 4 + 0 -17 + -3x = 4 Add '17' to each side of the equation. -17 + 17 + -3x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 4 + 17 -3x = 4 + 17 Combine like terms: 4 + 17 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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