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Simplifying 300 + 10(x + 6) + x = 40[3 + x + (x + 6)] Reorder the terms: 300 + 10(6 + x) + x = 40[3 + x + (x + 6)] 300 + (6 * 10 + x * 10) + x = 40[3 + x + (x + 6)] 300 + (60 + 10x) + x = 40[3 + x + (x + 6)] Combine like terms: 300 + 60 = 360 360 + 10x + x = 40[3 + x + (x + 6)] Combine like terms: 10x + x = 11x 360 + 11x = 40[3 + x + (x + 6)] Reorder the terms: 360 + 11x = 40[3 + x + (6 + x)] Remove parenthesis around (6 + x) 360 + 11x = 40[3 + x + 6 + x] Reorder the terms: 360 + 11x = 40[3 + 6 + x + x] Combine like terms: 3 + 6 = 9 360 + 11x = 40[9 + x + x] Combine like terms: x + x = 2x 360 + 11x = 40[9 + 2x] 360 + 11x = [9 * 40 + 2x * 40] 360 + 11x = [360 + 80x] Add '-360' to each side of the equation. 360 + -360 + 11x = 360 + -360 + 80x Combine like terms: 360 + -360 = 0 0 + 11x = 360 + -360 + 80x 11x = 360 + -360 + 80x Combine like terms: 360 + -360 = 0 11x = 0 + 80x 11x = 80x Solving 11x = 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 11x + -80x = 80x + -80x Combine like terms: 11x + -80x = -69x -69x = 80x + -80x Combine like terms: 80x + -80x = 0 -69x = 0 Divide each side by '-69'. x = 0 Simplifying x = 0
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