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Simplifying x + -4x + 7 = 5x + -6x + -17 Reorder the terms: 7 + x + -4x = 5x + -6x + -17 Combine like terms: x + -4x = -3x 7 + -3x = 5x + -6x + -17 Reorder the terms: 7 + -3x = -17 + 5x + -6x Combine like terms: 5x + -6x = -1x 7 + -3x = -17 + -1x Solving 7 + -3x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -3x + x = -17 + -1x + x Combine like terms: -3x + x = -2x 7 + -2x = -17 + -1x + x Combine like terms: -1x + x = 0 7 + -2x = -17 + 0 7 + -2x = -17 Add '-7' to each side of the equation. 7 + -7 + -2x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -17 + -7 -2x = -17 + -7 Combine like terms: -17 + -7 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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