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Simplifying 4(2 + -1x) + -1(4 + -1x) = 7(2x + 3) (2 * 4 + -1x * 4) + -1(4 + -1x) = 7(2x + 3) (8 + -4x) + -1(4 + -1x) = 7(2x + 3) 8 + -4x + (4 * -1 + -1x * -1) = 7(2x + 3) 8 + -4x + (-4 + 1x) = 7(2x + 3) Reorder the terms: 8 + -4 + -4x + 1x = 7(2x + 3) Combine like terms: 8 + -4 = 4 4 + -4x + 1x = 7(2x + 3) Combine like terms: -4x + 1x = -3x 4 + -3x = 7(2x + 3) Reorder the terms: 4 + -3x = 7(3 + 2x) 4 + -3x = (3 * 7 + 2x * 7) 4 + -3x = (21 + 14x) Solving 4 + -3x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + -3x + -14x = 21 + 14x + -14x Combine like terms: -3x + -14x = -17x 4 + -17x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + -17x = 21 + 0 4 + -17x = 21 Add '-4' to each side of the equation. 4 + -4 + -17x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + -17x = 21 + -4 -17x = 21 + -4 Combine like terms: 21 + -4 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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