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Simplifying -7x + 10(x + -6) = 9(3x + 4) Reorder the terms: -7x + 10(-6 + x) = 9(3x + 4) -7x + (-6 * 10 + x * 10) = 9(3x + 4) -7x + (-60 + 10x) = 9(3x + 4) Reorder the terms: -60 + -7x + 10x = 9(3x + 4) Combine like terms: -7x + 10x = 3x -60 + 3x = 9(3x + 4) Reorder the terms: -60 + 3x = 9(4 + 3x) -60 + 3x = (4 * 9 + 3x * 9) -60 + 3x = (36 + 27x) Solving -60 + 3x = 36 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -60 + 3x + -27x = 36 + 27x + -27x Combine like terms: 3x + -27x = -24x -60 + -24x = 36 + 27x + -27x Combine like terms: 27x + -27x = 0 -60 + -24x = 36 + 0 -60 + -24x = 36 Add '60' to each side of the equation. -60 + 60 + -24x = 36 + 60 Combine like terms: -60 + 60 = 0 0 + -24x = 36 + 60 -24x = 36 + 60 Combine like terms: 36 + 60 = 96 -24x = 96 Divide each side by '-24'. x = -4 Simplifying x = -4
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