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Simplifying 3x + -4x + 7 = 5 + x + -6 Reorder the terms: 7 + 3x + -4x = 5 + x + -6 Combine like terms: 3x + -4x = -1x 7 + -1x = 5 + x + -6 Reorder the terms: 7 + -1x = 5 + -6 + x Combine like terms: 5 + -6 = -1 7 + -1x = -1 + x Solving 7 + -1x = -1 + 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. 7 + -1x + -1x = -1 + x + -1x Combine like terms: -1x + -1x = -2x 7 + -2x = -1 + x + -1x Combine like terms: x + -1x = 0 7 + -2x = -1 + 0 7 + -2x = -1 Add '-7' to each side of the equation. 7 + -7 + -2x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -1 + -7 -2x = -1 + -7 Combine like terms: -1 + -7 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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