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Simplifying 4 + x + 3 + -4x = 6 + 3x + 7 Reorder the terms: 4 + 3 + x + -4x = 6 + 3x + 7 Combine like terms: 4 + 3 = 7 7 + x + -4x = 6 + 3x + 7 Combine like terms: x + -4x = -3x 7 + -3x = 6 + 3x + 7 Reorder the terms: 7 + -3x = 6 + 7 + 3x Combine like terms: 6 + 7 = 13 7 + -3x = 13 + 3x Solving 7 + -3x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -3x + -3x = 13 + 3x + -3x Combine like terms: -3x + -3x = -6x 7 + -6x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -6x = 13 + 0 7 + -6x = 13 Add '-7' to each side of the equation. 7 + -7 + -6x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 13 + -7 -6x = 13 + -7 Combine like terms: 13 + -7 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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