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Simplifying -7(x + -2) + (3 + -1x) = 4x + -3 Reorder the terms: -7(-2 + x) + (3 + -1x) = 4x + -3 (-2 * -7 + x * -7) + (3 + -1x) = 4x + -3 (14 + -7x) + (3 + -1x) = 4x + -3 Remove parenthesis around (3 + -1x) 14 + -7x + 3 + -1x = 4x + -3 Reorder the terms: 14 + 3 + -7x + -1x = 4x + -3 Combine like terms: 14 + 3 = 17 17 + -7x + -1x = 4x + -3 Combine like terms: -7x + -1x = -8x 17 + -8x = 4x + -3 Reorder the terms: 17 + -8x = -3 + 4x Solving 17 + -8x = -3 + 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. 17 + -8x + -4x = -3 + 4x + -4x Combine like terms: -8x + -4x = -12x 17 + -12x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -12x = -3 + 0 17 + -12x = -3 Add '-17' to each side of the equation. 17 + -17 + -12x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = -3 + -17 -12x = -3 + -17 Combine like terms: -3 + -17 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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