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Simplifying 7x + -4(x + -2) = 7x + 17 + -3x Reorder the terms: 7x + -4(-2 + x) = 7x + 17 + -3x 7x + (-2 * -4 + x * -4) = 7x + 17 + -3x 7x + (8 + -4x) = 7x + 17 + -3x Reorder the terms: 8 + 7x + -4x = 7x + 17 + -3x Combine like terms: 7x + -4x = 3x 8 + 3x = 7x + 17 + -3x Reorder the terms: 8 + 3x = 17 + 7x + -3x Combine like terms: 7x + -3x = 4x 8 + 3x = 17 + 4x Solving 8 + 3x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 3x + -4x = 17 + 4x + -4x Combine like terms: 3x + -4x = -1x 8 + -1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -1x = 17 + 0 8 + -1x = 17 Add '-8' to each side of the equation. 8 + -8 + -1x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 17 + -8 -1x = 17 + -8 Combine like terms: 17 + -8 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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