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Simplifying 10(5 + 4x) + -2(-6 + -8x) = -2x + 4 (5 * 10 + 4x * 10) + -2(-6 + -8x) = -2x + 4 (50 + 40x) + -2(-6 + -8x) = -2x + 4 50 + 40x + (-6 * -2 + -8x * -2) = -2x + 4 50 + 40x + (12 + 16x) = -2x + 4 Reorder the terms: 50 + 12 + 40x + 16x = -2x + 4 Combine like terms: 50 + 12 = 62 62 + 40x + 16x = -2x + 4 Combine like terms: 40x + 16x = 56x 62 + 56x = -2x + 4 Reorder the terms: 62 + 56x = 4 + -2x Solving 62 + 56x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 62 + 56x + 2x = 4 + -2x + 2x Combine like terms: 56x + 2x = 58x 62 + 58x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 62 + 58x = 4 + 0 62 + 58x = 4 Add '-62' to each side of the equation. 62 + -62 + 58x = 4 + -62 Combine like terms: 62 + -62 = 0 0 + 58x = 4 + -62 58x = 4 + -62 Combine like terms: 4 + -62 = -58 58x = -58 Divide each side by '58'. x = -1 Simplifying x = -1
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