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Simplifying 3x + -37 = 2(4x + 3) + -8 Reorder the terms: -37 + 3x = 2(4x + 3) + -8 Reorder the terms: -37 + 3x = 2(3 + 4x) + -8 -37 + 3x = (3 * 2 + 4x * 2) + -8 -37 + 3x = (6 + 8x) + -8 Reorder the terms: -37 + 3x = 6 + -8 + 8x Combine like terms: 6 + -8 = -2 -37 + 3x = -2 + 8x Solving -37 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -37 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x -37 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -37 + -5x = -2 + 0 -37 + -5x = -2 Add '37' to each side of the equation. -37 + 37 + -5x = -2 + 37 Combine like terms: -37 + 37 = 0 0 + -5x = -2 + 37 -5x = -2 + 37 Combine like terms: -2 + 37 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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