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Simplifying 6(2x + -6) + -4(x + 1) + -15x = 0 Reorder the terms: 6(-6 + 2x) + -4(x + 1) + -15x = 0 (-6 * 6 + 2x * 6) + -4(x + 1) + -15x = 0 (-36 + 12x) + -4(x + 1) + -15x = 0 Reorder the terms: -36 + 12x + -4(1 + x) + -15x = 0 -36 + 12x + (1 * -4 + x * -4) + -15x = 0 -36 + 12x + (-4 + -4x) + -15x = 0 Reorder the terms: -36 + -4 + 12x + -4x + -15x = 0 Combine like terms: -36 + -4 = -40 -40 + 12x + -4x + -15x = 0 Combine like terms: 12x + -4x = 8x -40 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x -40 + -7x = 0 Solving -40 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -7x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -7x = 0 + 40 -7x = 0 + 40 Combine like terms: 0 + 40 = 40 -7x = 40 Divide each side by '-7'. x = -5.714285714 Simplifying x = -5.714285714
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