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Simplifying 3 + -7(x + 4) + 8 = -4x + -10 + -2x Reorder the terms: 3 + -7(4 + x) + 8 = -4x + -10 + -2x 3 + (4 * -7 + x * -7) + 8 = -4x + -10 + -2x 3 + (-28 + -7x) + 8 = -4x + -10 + -2x Reorder the terms: 3 + -28 + 8 + -7x = -4x + -10 + -2x Combine like terms: 3 + -28 = -25 -25 + 8 + -7x = -4x + -10 + -2x Combine like terms: -25 + 8 = -17 -17 + -7x = -4x + -10 + -2x Reorder the terms: -17 + -7x = -10 + -4x + -2x Combine like terms: -4x + -2x = -6x -17 + -7x = -10 + -6x Solving -17 + -7x = -10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + -7x + 6x = -10 + -6x + 6x Combine like terms: -7x + 6x = -1x -17 + -1x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + -1x = -10 + 0 -17 + -1x = -10 Add '17' to each side of the equation. -17 + 17 + -1x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -10 + 17 -1x = -10 + 17 Combine like terms: -10 + 17 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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