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Simplifying -6(6x + -10) = 10(-4x + 4) Reorder the terms: -6(-10 + 6x) = 10(-4x + 4) (-10 * -6 + 6x * -6) = 10(-4x + 4) (60 + -36x) = 10(-4x + 4) Reorder the terms: 60 + -36x = 10(4 + -4x) 60 + -36x = (4 * 10 + -4x * 10) 60 + -36x = (40 + -40x) Solving 60 + -36x = 40 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 60 + -36x + 40x = 40 + -40x + 40x Combine like terms: -36x + 40x = 4x 60 + 4x = 40 + -40x + 40x Combine like terms: -40x + 40x = 0 60 + 4x = 40 + 0 60 + 4x = 40 Add '-60' to each side of the equation. 60 + -60 + 4x = 40 + -60 Combine like terms: 60 + -60 = 0 0 + 4x = 40 + -60 4x = 40 + -60 Combine like terms: 40 + -60 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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