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Simplifying 2(x + 4) + -1(3x + -14) = 7x + -2 Reorder the terms: 2(4 + x) + -1(3x + -14) = 7x + -2 (4 * 2 + x * 2) + -1(3x + -14) = 7x + -2 (8 + 2x) + -1(3x + -14) = 7x + -2 Reorder the terms: 8 + 2x + -1(-14 + 3x) = 7x + -2 8 + 2x + (-14 * -1 + 3x * -1) = 7x + -2 8 + 2x + (14 + -3x) = 7x + -2 Reorder the terms: 8 + 14 + 2x + -3x = 7x + -2 Combine like terms: 8 + 14 = 22 22 + 2x + -3x = 7x + -2 Combine like terms: 2x + -3x = -1x 22 + -1x = 7x + -2 Reorder the terms: 22 + -1x = -2 + 7x Solving 22 + -1x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 22 + -1x + -7x = -2 + 7x + -7x Combine like terms: -1x + -7x = -8x 22 + -8x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -8x = -2 + 0 22 + -8x = -2 Add '-22' to each side of the equation. 22 + -22 + -8x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = -2 + -22 -8x = -2 + -22 Combine like terms: -2 + -22 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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