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Simplifying x + 6 = 3x + 5(x + -2) + -3 Reorder the terms: 6 + x = 3x + 5(x + -2) + -3 Reorder the terms: 6 + x = 3x + 5(-2 + x) + -3 6 + x = 3x + (-2 * 5 + x * 5) + -3 6 + x = 3x + (-10 + 5x) + -3 Reorder the terms: 6 + x = -10 + -3 + 3x + 5x Combine like terms: -10 + -3 = -13 6 + x = -13 + 3x + 5x Combine like terms: 3x + 5x = 8x 6 + x = -13 + 8x Solving 6 + x = -13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + x + -8x = -13 + 8x + -8x Combine like terms: x + -8x = -7x 6 + -7x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -7x = -13 + 0 6 + -7x = -13 Add '-6' to each side of the equation. 6 + -6 + -7x = -13 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -13 + -6 -7x = -13 + -6 Combine like terms: -13 + -6 = -19 -7x = -19 Divide each side by '-7'. x = 2.714285714 Simplifying x = 2.714285714
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