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Simplifying 15 + -3(6x + 4) = 6(11 + -5x) + 3 Reorder the terms: 15 + -3(4 + 6x) = 6(11 + -5x) + 3 15 + (4 * -3 + 6x * -3) = 6(11 + -5x) + 3 15 + (-12 + -18x) = 6(11 + -5x) + 3 Combine like terms: 15 + -12 = 3 3 + -18x = 6(11 + -5x) + 3 3 + -18x = (11 * 6 + -5x * 6) + 3 3 + -18x = (66 + -30x) + 3 Reorder the terms: 3 + -18x = 66 + 3 + -30x Combine like terms: 66 + 3 = 69 3 + -18x = 69 + -30x Solving 3 + -18x = 69 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 3 + -18x + 30x = 69 + -30x + 30x Combine like terms: -18x + 30x = 12x 3 + 12x = 69 + -30x + 30x Combine like terms: -30x + 30x = 0 3 + 12x = 69 + 0 3 + 12x = 69 Add '-3' to each side of the equation. 3 + -3 + 12x = 69 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 69 + -3 12x = 69 + -3 Combine like terms: 69 + -3 = 66 12x = 66 Divide each side by '12'. x = 5.5 Simplifying x = 5.5
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