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Simplifying x + -14 = 16(2x + 3) + -10 Reorder the terms: -14 + x = 16(2x + 3) + -10 Reorder the terms: -14 + x = 16(3 + 2x) + -10 -14 + x = (3 * 16 + 2x * 16) + -10 -14 + x = (48 + 32x) + -10 Reorder the terms: -14 + x = 48 + -10 + 32x Combine like terms: 48 + -10 = 38 -14 + x = 38 + 32x Solving -14 + x = 38 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -14 + x + -32x = 38 + 32x + -32x Combine like terms: x + -32x = -31x -14 + -31x = 38 + 32x + -32x Combine like terms: 32x + -32x = 0 -14 + -31x = 38 + 0 -14 + -31x = 38 Add '14' to each side of the equation. -14 + 14 + -31x = 38 + 14 Combine like terms: -14 + 14 = 0 0 + -31x = 38 + 14 -31x = 38 + 14 Combine like terms: 38 + 14 = 52 -31x = 52 Divide each side by '-31'. x = -1.677419355 Simplifying x = -1.677419355
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