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Simplifying -14 + 3(x + 10) = -8(-2x + 4) + x Reorder the terms: -14 + 3(10 + x) = -8(-2x + 4) + x -14 + (10 * 3 + x * 3) = -8(-2x + 4) + x -14 + (30 + 3x) = -8(-2x + 4) + x Combine like terms: -14 + 30 = 16 16 + 3x = -8(-2x + 4) + x Reorder the terms: 16 + 3x = -8(4 + -2x) + x 16 + 3x = (4 * -8 + -2x * -8) + x 16 + 3x = (-32 + 16x) + x Combine like terms: 16x + x = 17x 16 + 3x = -32 + 17x Solving 16 + 3x = -32 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 16 + 3x + -17x = -32 + 17x + -17x Combine like terms: 3x + -17x = -14x 16 + -14x = -32 + 17x + -17x Combine like terms: 17x + -17x = 0 16 + -14x = -32 + 0 16 + -14x = -32 Add '-16' to each side of the equation. 16 + -16 + -14x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -14x = -32 + -16 -14x = -32 + -16 Combine like terms: -32 + -16 = -48 -14x = -48 Divide each side by '-14'. x = 3.428571429 Simplifying x = 3.428571429
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