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Simplifying 15(2x + -1) = 3(x + 4) + 3x Reorder the terms: 15(-1 + 2x) = 3(x + 4) + 3x (-1 * 15 + 2x * 15) = 3(x + 4) + 3x (-15 + 30x) = 3(x + 4) + 3x Reorder the terms: -15 + 30x = 3(4 + x) + 3x -15 + 30x = (4 * 3 + x * 3) + 3x -15 + 30x = (12 + 3x) + 3x Combine like terms: 3x + 3x = 6x -15 + 30x = 12 + 6x Solving -15 + 30x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 30x + -6x = 12 + 6x + -6x Combine like terms: 30x + -6x = 24x -15 + 24x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 24x = 12 + 0 -15 + 24x = 12 Add '15' to each side of the equation. -15 + 15 + 24x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 24x = 12 + 15 24x = 12 + 15 Combine like terms: 12 + 15 = 27 24x = 27 Divide each side by '24'. x = 1.125 Simplifying x = 1.125
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