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Simplifying -6(-5x + 4) + -9x = 3(x + -7) + -7 Reorder the terms: -6(4 + -5x) + -9x = 3(x + -7) + -7 (4 * -6 + -5x * -6) + -9x = 3(x + -7) + -7 (-24 + 30x) + -9x = 3(x + -7) + -7 Combine like terms: 30x + -9x = 21x -24 + 21x = 3(x + -7) + -7 Reorder the terms: -24 + 21x = 3(-7 + x) + -7 -24 + 21x = (-7 * 3 + x * 3) + -7 -24 + 21x = (-21 + 3x) + -7 Reorder the terms: -24 + 21x = -21 + -7 + 3x Combine like terms: -21 + -7 = -28 -24 + 21x = -28 + 3x Solving -24 + 21x = -28 + 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. -24 + 21x + -3x = -28 + 3x + -3x Combine like terms: 21x + -3x = 18x -24 + 18x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 18x = -28 + 0 -24 + 18x = -28 Add '24' to each side of the equation. -24 + 24 + 18x = -28 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = -28 + 24 18x = -28 + 24 Combine like terms: -28 + 24 = -4 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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