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Simplifying 5(3x + -2) + -2(x + -6) = 10 Reorder the terms: 5(-2 + 3x) + -2(x + -6) = 10 (-2 * 5 + 3x * 5) + -2(x + -6) = 10 (-10 + 15x) + -2(x + -6) = 10 Reorder the terms: -10 + 15x + -2(-6 + x) = 10 -10 + 15x + (-6 * -2 + x * -2) = 10 -10 + 15x + (12 + -2x) = 10 Reorder the terms: -10 + 12 + 15x + -2x = 10 Combine like terms: -10 + 12 = 2 2 + 15x + -2x = 10 Combine like terms: 15x + -2x = 13x 2 + 13x = 10 Solving 2 + 13x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 10 + -2 13x = 10 + -2 Combine like terms: 10 + -2 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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