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Simplifying -10(9x + -6) = 3(x + 4) Reorder the terms: -10(-6 + 9x) = 3(x + 4) (-6 * -10 + 9x * -10) = 3(x + 4) (60 + -90x) = 3(x + 4) Reorder the terms: 60 + -90x = 3(4 + x) 60 + -90x = (4 * 3 + x * 3) 60 + -90x = (12 + 3x) Solving 60 + -90x = 12 + 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. 60 + -90x + -3x = 12 + 3x + -3x Combine like terms: -90x + -3x = -93x 60 + -93x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + -93x = 12 + 0 60 + -93x = 12 Add '-60' to each side of the equation. 60 + -60 + -93x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -93x = 12 + -60 -93x = 12 + -60 Combine like terms: 12 + -60 = -48 -93x = -48 Divide each side by '-93'. x = 0.5161290323 Simplifying x = 0.5161290323
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