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Simplifying 37 + -2x = 7(1 + -4x) + -4x 37 + -2x = (1 * 7 + -4x * 7) + -4x 37 + -2x = (7 + -28x) + -4x Combine like terms: -28x + -4x = -32x 37 + -2x = 7 + -32x Solving 37 + -2x = 7 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 37 + -2x + 32x = 7 + -32x + 32x Combine like terms: -2x + 32x = 30x 37 + 30x = 7 + -32x + 32x Combine like terms: -32x + 32x = 0 37 + 30x = 7 + 0 37 + 30x = 7 Add '-37' to each side of the equation. 37 + -37 + 30x = 7 + -37 Combine like terms: 37 + -37 = 0 0 + 30x = 7 + -37 30x = 7 + -37 Combine like terms: 7 + -37 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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