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Simplifying 3x + -4x + 6 = x + 9 Reorder the terms: 6 + 3x + -4x = x + 9 Combine like terms: 3x + -4x = -1x 6 + -1x = x + 9 Reorder the terms: 6 + -1x = 9 + x Solving 6 + -1x = 9 + x 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. 6 + -1x + -1x = 9 + x + -1x Combine like terms: -1x + -1x = -2x 6 + -2x = 9 + x + -1x Combine like terms: x + -1x = 0 6 + -2x = 9 + 0 6 + -2x = 9 Add '-6' to each side of the equation. 6 + -6 + -2x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 9 + -6 -2x = 9 + -6 Combine like terms: 9 + -6 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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