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Simplifying 5x + 3(x + 2) = 2x + -7 Reorder the terms: 5x + 3(2 + x) = 2x + -7 5x + (2 * 3 + x * 3) = 2x + -7 5x + (6 + 3x) = 2x + -7 Reorder the terms: 6 + 5x + 3x = 2x + -7 Combine like terms: 5x + 3x = 8x 6 + 8x = 2x + -7 Reorder the terms: 6 + 8x = -7 + 2x Solving 6 + 8x = -7 + 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 + 8x + -2x = -7 + 2x + -2x Combine like terms: 8x + -2x = 6x 6 + 6x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 6x = -7 + 0 6 + 6x = -7 Add '-6' to each side of the equation. 6 + -6 + 6x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -7 + -6 6x = -7 + -6 Combine like terms: -7 + -6 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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