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Simplifying 37 + -4x = 2(3x + 10) + -1(x + -1) Reorder the terms: 37 + -4x = 2(10 + 3x) + -1(x + -1) 37 + -4x = (10 * 2 + 3x * 2) + -1(x + -1) 37 + -4x = (20 + 6x) + -1(x + -1) Reorder the terms: 37 + -4x = 20 + 6x + -1(-1 + x) 37 + -4x = 20 + 6x + (-1 * -1 + x * -1) 37 + -4x = 20 + 6x + (1 + -1x) Reorder the terms: 37 + -4x = 20 + 1 + 6x + -1x Combine like terms: 20 + 1 = 21 37 + -4x = 21 + 6x + -1x Combine like terms: 6x + -1x = 5x 37 + -4x = 21 + 5x Solving 37 + -4x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 37 + -4x + -5x = 21 + 5x + -5x Combine like terms: -4x + -5x = -9x 37 + -9x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -9x = 21 + 0 37 + -9x = 21 Add '-37' to each side of the equation. 37 + -37 + -9x = 21 + -37 Combine like terms: 37 + -37 = 0 0 + -9x = 21 + -37 -9x = 21 + -37 Combine like terms: 21 + -37 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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