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Simplifying 15(2x + -1) = 3(x + 4) + 4 Reorder the terms: 15(-1 + 2x) = 3(x + 4) + 4 (-1 * 15 + 2x * 15) = 3(x + 4) + 4 (-15 + 30x) = 3(x + 4) + 4 Reorder the terms: -15 + 30x = 3(4 + x) + 4 -15 + 30x = (4 * 3 + x * 3) + 4 -15 + 30x = (12 + 3x) + 4 Reorder the terms: -15 + 30x = 12 + 4 + 3x Combine like terms: 12 + 4 = 16 -15 + 30x = 16 + 3x Solving -15 + 30x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 30x + -3x = 16 + 3x + -3x Combine like terms: 30x + -3x = 27x -15 + 27x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 27x = 16 + 0 -15 + 27x = 16 Add '15' to each side of the equation. -15 + 15 + 27x = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = 16 + 15 27x = 16 + 15 Combine like terms: 16 + 15 = 31 27x = 31 Divide each side by '27'. x = 1.148148148 Simplifying x = 1.148148148
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