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Simplifying 10(3x + 3) = 2(11x + 7x + -3) Reorder the terms: 10(3 + 3x) = 2(11x + 7x + -3) (3 * 10 + 3x * 10) = 2(11x + 7x + -3) (30 + 30x) = 2(11x + 7x + -3) Reorder the terms: 30 + 30x = 2(-3 + 11x + 7x) Combine like terms: 11x + 7x = 18x 30 + 30x = 2(-3 + 18x) 30 + 30x = (-3 * 2 + 18x * 2) 30 + 30x = (-6 + 36x) Solving 30 + 30x = -6 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 30 + 30x + -36x = -6 + 36x + -36x Combine like terms: 30x + -36x = -6x 30 + -6x = -6 + 36x + -36x Combine like terms: 36x + -36x = 0 30 + -6x = -6 + 0 30 + -6x = -6 Add '-30' to each side of the equation. 30 + -30 + -6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -6 + -30 -6x = -6 + -30 Combine like terms: -6 + -30 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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