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Simplifying -6 + -2(-2x + -6) = -10(3x + -4) Reorder the terms: -6 + -2(-6 + -2x) = -10(3x + -4) -6 + (-6 * -2 + -2x * -2) = -10(3x + -4) -6 + (12 + 4x) = -10(3x + -4) Combine like terms: -6 + 12 = 6 6 + 4x = -10(3x + -4) Reorder the terms: 6 + 4x = -10(-4 + 3x) 6 + 4x = (-4 * -10 + 3x * -10) 6 + 4x = (40 + -30x) Solving 6 + 4x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 6 + 4x + 30x = 40 + -30x + 30x Combine like terms: 4x + 30x = 34x 6 + 34x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 6 + 34x = 40 + 0 6 + 34x = 40 Add '-6' to each side of the equation. 6 + -6 + 34x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + 34x = 40 + -6 34x = 40 + -6 Combine like terms: 40 + -6 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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