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Simplifying 3x + -4(2 + -3x) = 6(x + 4) + -15 3x + (2 * -4 + -3x * -4) = 6(x + 4) + -15 3x + (-8 + 12x) = 6(x + 4) + -15 Reorder the terms: -8 + 3x + 12x = 6(x + 4) + -15 Combine like terms: 3x + 12x = 15x -8 + 15x = 6(x + 4) + -15 Reorder the terms: -8 + 15x = 6(4 + x) + -15 -8 + 15x = (4 * 6 + x * 6) + -15 -8 + 15x = (24 + 6x) + -15 Reorder the terms: -8 + 15x = 24 + -15 + 6x Combine like terms: 24 + -15 = 9 -8 + 15x = 9 + 6x Solving -8 + 15x = 9 + 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. -8 + 15x + -6x = 9 + 6x + -6x Combine like terms: 15x + -6x = 9x -8 + 9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 9x = 9 + 0 -8 + 9x = 9 Add '8' to each side of the equation. -8 + 8 + 9x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 9 + 8 9x = 9 + 8 Combine like terms: 9 + 8 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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