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Simplifying 19 + -6(4x + -2) = 4x + 15 Reorder the terms: 19 + -6(-2 + 4x) = 4x + 15 19 + (-2 * -6 + 4x * -6) = 4x + 15 19 + (12 + -24x) = 4x + 15 Combine like terms: 19 + 12 = 31 31 + -24x = 4x + 15 Reorder the terms: 31 + -24x = 15 + 4x Solving 31 + -24x = 15 + 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. 31 + -24x + -4x = 15 + 4x + -4x Combine like terms: -24x + -4x = -28x 31 + -28x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -28x = 15 + 0 31 + -28x = 15 Add '-31' to each side of the equation. 31 + -31 + -28x = 15 + -31 Combine like terms: 31 + -31 = 0 0 + -28x = 15 + -31 -28x = 15 + -31 Combine like terms: 15 + -31 = -16 -28x = -16 Divide each side by '-28'. x = 0.5714285714 Simplifying x = 0.5714285714
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