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Simplifying 6(2x + -4) + -3(x + 1) + -15x = 0 Reorder the terms: 6(-4 + 2x) + -3(x + 1) + -15x = 0 (-4 * 6 + 2x * 6) + -3(x + 1) + -15x = 0 (-24 + 12x) + -3(x + 1) + -15x = 0 Reorder the terms: -24 + 12x + -3(1 + x) + -15x = 0 -24 + 12x + (1 * -3 + x * -3) + -15x = 0 -24 + 12x + (-3 + -3x) + -15x = 0 Reorder the terms: -24 + -3 + 12x + -3x + -15x = 0 Combine like terms: -24 + -3 = -27 -27 + 12x + -3x + -15x = 0 Combine like terms: 12x + -3x = 9x -27 + 9x + -15x = 0 Combine like terms: 9x + -15x = -6x -27 + -6x = 0 Solving -27 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = 0 + 27 -6x = 0 + 27 Combine like terms: 0 + 27 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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