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Simplifying 8(3x + 10) = 28x(-14) + -4x Reorder the terms: 8(10 + 3x) = 28x(-14) + -4x (10 * 8 + 3x * 8) = 28x(-14) + -4x (80 + 24x) = 28x(-14) + -4x Reorder the terms for easier multiplication: 80 + 24x = 28 * -14x + -4x Multiply 28 * -14 80 + 24x = -392x + -4x Combine like terms: -392x + -4x = -396x 80 + 24x = -396x Solving 80 + 24x = -396x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '396x' to each side of the equation. 80 + 24x + 396x = -396x + 396x Combine like terms: 24x + 396x = 420x 80 + 420x = -396x + 396x Combine like terms: -396x + 396x = 0 80 + 420x = 0 Add '-80' to each side of the equation. 80 + -80 + 420x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 420x = 0 + -80 420x = 0 + -80 Combine like terms: 0 + -80 = -80 420x = -80 Divide each side by '420'. x = -0.1904761905 Simplifying x = -0.1904761905
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