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Simplifying x + -4 + 3(3x + -1) = -5x + -37 Reorder the terms: x + -4 + 3(-1 + 3x) = -5x + -37 x + -4 + (-1 * 3 + 3x * 3) = -5x + -37 x + -4 + (-3 + 9x) = -5x + -37 Reorder the terms: -4 + -3 + x + 9x = -5x + -37 Combine like terms: -4 + -3 = -7 -7 + x + 9x = -5x + -37 Combine like terms: x + 9x = 10x -7 + 10x = -5x + -37 Reorder the terms: -7 + 10x = -37 + -5x Solving -7 + 10x = -37 + -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. -7 + 10x + 5x = -37 + -5x + 5x Combine like terms: 10x + 5x = 15x -7 + 15x = -37 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 15x = -37 + 0 -7 + 15x = -37 Add '7' to each side of the equation. -7 + 7 + 15x = -37 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = -37 + 7 15x = -37 + 7 Combine like terms: -37 + 7 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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