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Simplifying 4 + -7x + 9 = 3x + 15 + -9x Reorder the terms: 4 + 9 + -7x = 3x + 15 + -9x Combine like terms: 4 + 9 = 13 13 + -7x = 3x + 15 + -9x Reorder the terms: 13 + -7x = 15 + 3x + -9x Combine like terms: 3x + -9x = -6x 13 + -7x = 15 + -6x Solving 13 + -7x = 15 + -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. 13 + -7x + 6x = 15 + -6x + 6x Combine like terms: -7x + 6x = -1x 13 + -1x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + -1x = 15 + 0 13 + -1x = 15 Add '-13' to each side of the equation. 13 + -13 + -1x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 15 + -13 -1x = 15 + -13 Combine like terms: 15 + -13 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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