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Simplifying 37 = 3(10x + -5) + 2(3x + -10) Reorder the terms: 37 = 3(-5 + 10x) + 2(3x + -10) 37 = (-5 * 3 + 10x * 3) + 2(3x + -10) 37 = (-15 + 30x) + 2(3x + -10) Reorder the terms: 37 = -15 + 30x + 2(-10 + 3x) 37 = -15 + 30x + (-10 * 2 + 3x * 2) 37 = -15 + 30x + (-20 + 6x) Reorder the terms: 37 = -15 + -20 + 30x + 6x Combine like terms: -15 + -20 = -35 37 = -35 + 30x + 6x Combine like terms: 30x + 6x = 36x 37 = -35 + 36x Solving 37 = -35 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 37 + -36x = -35 + 36x + -36x Combine like terms: 36x + -36x = 0 37 + -36x = -35 + 0 37 + -36x = -35 Add '-37' to each side of the equation. 37 + -37 + -36x = -35 + -37 Combine like terms: 37 + -37 = 0 0 + -36x = -35 + -37 -36x = -35 + -37 Combine like terms: -35 + -37 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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