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Simplifying 4x + -1(6x + 9) = 2x + -37 Reorder the terms: 4x + -1(9 + 6x) = 2x + -37 4x + (9 * -1 + 6x * -1) = 2x + -37 4x + (-9 + -6x) = 2x + -37 Reorder the terms: -9 + 4x + -6x = 2x + -37 Combine like terms: 4x + -6x = -2x -9 + -2x = 2x + -37 Reorder the terms: -9 + -2x = -37 + 2x Solving -9 + -2x = -37 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -2x + -2x = -37 + 2x + -2x Combine like terms: -2x + -2x = -4x -9 + -4x = -37 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -4x = -37 + 0 -9 + -4x = -37 Add '9' to each side of the equation. -9 + 9 + -4x = -37 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -37 + 9 -4x = -37 + 9 Combine like terms: -37 + 9 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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