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Simplifying 6x + 30 + 4x = 100(x + 3) Reorder the terms: 30 + 6x + 4x = 100(x + 3) Combine like terms: 6x + 4x = 10x 30 + 10x = 100(x + 3) Reorder the terms: 30 + 10x = 100(3 + x) 30 + 10x = (3 * 100 + x * 100) 30 + 10x = (300 + 100x) Solving 30 + 10x = 300 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 30 + 10x + -100x = 300 + 100x + -100x Combine like terms: 10x + -100x = -90x 30 + -90x = 300 + 100x + -100x Combine like terms: 100x + -100x = 0 30 + -90x = 300 + 0 30 + -90x = 300 Add '-30' to each side of the equation. 30 + -30 + -90x = 300 + -30 Combine like terms: 30 + -30 = 0 0 + -90x = 300 + -30 -90x = 300 + -30 Combine like terms: 300 + -30 = 270 -90x = 270 Divide each side by '-90'. x = -3 Simplifying x = -3
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