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Simplifying -37 = 7x + -2(4x + 15) Reorder the terms: -37 = 7x + -2(15 + 4x) -37 = 7x + (15 * -2 + 4x * -2) -37 = 7x + (-30 + -8x) Reorder the terms: -37 = -30 + 7x + -8x Combine like terms: 7x + -8x = -1x -37 = -30 + -1x Solving -37 = -30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -37 + x = -30 + -1x + x Combine like terms: -1x + x = 0 -37 + x = -30 + 0 -37 + x = -30 Add '37' to each side of the equation. -37 + 37 + x = -30 + 37 Combine like terms: -37 + 37 = 0 0 + x = -30 + 37 x = -30 + 37 Combine like terms: -30 + 37 = 7 x = 7 Simplifying x = 7
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