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Simplifying 8(6 + x) + -10(5 + -4x) = -98 (6 * 8 + x * 8) + -10(5 + -4x) = -98 (48 + 8x) + -10(5 + -4x) = -98 48 + 8x + (5 * -10 + -4x * -10) = -98 48 + 8x + (-50 + 40x) = -98 Reorder the terms: 48 + -50 + 8x + 40x = -98 Combine like terms: 48 + -50 = -2 -2 + 8x + 40x = -98 Combine like terms: 8x + 40x = 48x -2 + 48x = -98 Solving -2 + 48x = -98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 48x = -98 + 2 Combine like terms: -2 + 2 = 0 0 + 48x = -98 + 2 48x = -98 + 2 Combine like terms: -98 + 2 = -96 48x = -96 Divide each side by '48'. x = -2 Simplifying x = -2
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