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Simplifying 4x + -9 + 2x + -6 + -7x = 6x + -36 Reorder the terms: -9 + -6 + 4x + 2x + -7x = 6x + -36 Combine like terms: -9 + -6 = -15 -15 + 4x + 2x + -7x = 6x + -36 Combine like terms: 4x + 2x = 6x -15 + 6x + -7x = 6x + -36 Combine like terms: 6x + -7x = -1x -15 + -1x = 6x + -36 Reorder the terms: -15 + -1x = -36 + 6x Solving -15 + -1x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -1x + -6x = -36 + 6x + -6x Combine like terms: -1x + -6x = -7x -15 + -7x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -7x = -36 + 0 -15 + -7x = -36 Add '15' to each side of the equation. -15 + 15 + -7x = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -36 + 15 -7x = -36 + 15 Combine like terms: -36 + 15 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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