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Simplifying -237 = 6x + 3(-7x + -19) Reorder the terms: -237 = 6x + 3(-19 + -7x) -237 = 6x + (-19 * 3 + -7x * 3) -237 = 6x + (-57 + -21x) Reorder the terms: -237 = -57 + 6x + -21x Combine like terms: 6x + -21x = -15x -237 = -57 + -15x Solving -237 = -57 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -237 + 15x = -57 + -15x + 15x Combine like terms: -15x + 15x = 0 -237 + 15x = -57 + 0 -237 + 15x = -57 Add '237' to each side of the equation. -237 + 237 + 15x = -57 + 237 Combine like terms: -237 + 237 = 0 0 + 15x = -57 + 237 15x = -57 + 237 Combine like terms: -57 + 237 = 180 15x = 180 Divide each side by '15'. x = 12 Simplifying x = 12
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