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Simplifying 7x + 6(-2x + -6) = -37 + -4x Reorder the terms: 7x + 6(-6 + -2x) = -37 + -4x 7x + (-6 * 6 + -2x * 6) = -37 + -4x 7x + (-36 + -12x) = -37 + -4x Reorder the terms: -36 + 7x + -12x = -37 + -4x Combine like terms: 7x + -12x = -5x -36 + -5x = -37 + -4x Solving -36 + -5x = -37 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -36 + -5x + 4x = -37 + -4x + 4x Combine like terms: -5x + 4x = -1x -36 + -1x = -37 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + -1x = -37 + 0 -36 + -1x = -37 Add '36' to each side of the equation. -36 + 36 + -1x = -37 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -37 + 36 -1x = -37 + 36 Combine like terms: -37 + 36 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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