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Simplifying 3x + 7 = 8x + -1(3 + 2x) Reorder the terms: 7 + 3x = 8x + -1(3 + 2x) 7 + 3x = 8x + (3 * -1 + 2x * -1) 7 + 3x = 8x + (-3 + -2x) Reorder the terms: 7 + 3x = -3 + 8x + -2x Combine like terms: 8x + -2x = 6x 7 + 3x = -3 + 6x Solving 7 + 3x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 3x + -6x = -3 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -3 + 0 7 + -3x = -3 Add '-7' to each side of the equation. 7 + -7 + -3x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -3 + -7 -3x = -3 + -7 Combine like terms: -3 + -7 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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