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Simplifying 4x + 6 + -1x = 3 + -1(2x + 7) Reorder the terms: 6 + 4x + -1x = 3 + -1(2x + 7) Combine like terms: 4x + -1x = 3x 6 + 3x = 3 + -1(2x + 7) Reorder the terms: 6 + 3x = 3 + -1(7 + 2x) 6 + 3x = 3 + (7 * -1 + 2x * -1) 6 + 3x = 3 + (-7 + -2x) Combine like terms: 3 + -7 = -4 6 + 3x = -4 + -2x Solving 6 + 3x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 3x + 2x = -4 + -2x + 2x Combine like terms: 3x + 2x = 5x 6 + 5x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5x = -4 + 0 6 + 5x = -4 Add '-6' to each side of the equation. 6 + -6 + 5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -4 + -6 5x = -4 + -6 Combine like terms: -4 + -6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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