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Simplifying 6(2x + -4) + 9 = -10(6 + -2) + 3x Reorder the terms: 6(-4 + 2x) + 9 = -10(6 + -2) + 3x (-4 * 6 + 2x * 6) + 9 = -10(6 + -2) + 3x (-24 + 12x) + 9 = -10(6 + -2) + 3x Reorder the terms: -24 + 9 + 12x = -10(6 + -2) + 3x Combine like terms: -24 + 9 = -15 -15 + 12x = -10(6 + -2) + 3x Combine like terms: 6 + -2 = 4 -15 + 12x = -10(4) + 3x Multiply -10 * 4 -15 + 12x = -40 + 3x Solving -15 + 12x = -40 + 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 + 12x + -3x = -40 + 3x + -3x Combine like terms: 12x + -3x = 9x -15 + 9x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 9x = -40 + 0 -15 + 9x = -40 Add '15' to each side of the equation. -15 + 15 + 9x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = -40 + 15 9x = -40 + 15 Combine like terms: -40 + 15 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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