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Simplifying 3x + 7 = 2(3x + -8) Reorder the terms: 7 + 3x = 2(3x + -8) Reorder the terms: 7 + 3x = 2(-8 + 3x) 7 + 3x = (-8 * 2 + 3x * 2) 7 + 3x = (-16 + 6x) Solving 7 + 3x = -16 + 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 = -16 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -16 + 0 7 + -3x = -16 Add '-7' to each side of the equation. 7 + -7 + -3x = -16 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -16 + -7 -3x = -16 + -7 Combine like terms: -16 + -7 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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