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Simplifying -6x + -3(-4x + -5) + -4 = 9x + -10 Reorder the terms: -6x + -3(-5 + -4x) + -4 = 9x + -10 -6x + (-5 * -3 + -4x * -3) + -4 = 9x + -10 -6x + (15 + 12x) + -4 = 9x + -10 Reorder the terms: 15 + -4 + -6x + 12x = 9x + -10 Combine like terms: 15 + -4 = 11 11 + -6x + 12x = 9x + -10 Combine like terms: -6x + 12x = 6x 11 + 6x = 9x + -10 Reorder the terms: 11 + 6x = -10 + 9x Solving 11 + 6x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 6x + -9x = -10 + 9x + -9x Combine like terms: 6x + -9x = -3x 11 + -3x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -3x = -10 + 0 11 + -3x = -10 Add '-11' to each side of the equation. 11 + -11 + -3x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -10 + -11 -3x = -10 + -11 Combine like terms: -10 + -11 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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