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Simplifying -2x + 37 = -3(x + 4) Reorder the terms: 37 + -2x = -3(x + 4) Reorder the terms: 37 + -2x = -3(4 + x) 37 + -2x = (4 * -3 + x * -3) 37 + -2x = (-12 + -3x) Solving 37 + -2x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 37 + -2x + 3x = -12 + -3x + 3x Combine like terms: -2x + 3x = 1x 37 + 1x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 37 + 1x = -12 + 0 37 + 1x = -12 Add '-37' to each side of the equation. 37 + -37 + 1x = -12 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = -12 + -37 1x = -12 + -37 Combine like terms: -12 + -37 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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