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