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Simplifying 78 + 5(4 + -2x) = 21 + x 78 + (4 * 5 + -2x * 5) = 21 + x 78 + (20 + -10x) = 21 + x Combine like terms: 78 + 20 = 98 98 + -10x = 21 + x Solving 98 + -10x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 98 + -10x + -1x = 21 + x + -1x Combine like terms: -10x + -1x = -11x 98 + -11x = 21 + x + -1x Combine like terms: x + -1x = 0 98 + -11x = 21 + 0 98 + -11x = 21 Add '-98' to each side of the equation. 98 + -98 + -11x = 21 + -98 Combine like terms: 98 + -98 = 0 0 + -11x = 21 + -98 -11x = 21 + -98 Combine like terms: 21 + -98 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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