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Simplifying 3x + -2 + x + 3 = x + 8 + 3x + 7 + 3x + 3 Reorder the terms: -2 + 3 + 3x + x = x + 8 + 3x + 7 + 3x + 3 Combine like terms: -2 + 3 = 1 1 + 3x + x = x + 8 + 3x + 7 + 3x + 3 Combine like terms: 3x + x = 4x 1 + 4x = x + 8 + 3x + 7 + 3x + 3 Reorder the terms: 1 + 4x = 8 + 7 + 3 + x + 3x + 3x Combine like terms: 8 + 7 = 15 1 + 4x = 15 + 3 + x + 3x + 3x Combine like terms: 15 + 3 = 18 1 + 4x = 18 + x + 3x + 3x Combine like terms: x + 3x = 4x 1 + 4x = 18 + 4x + 3x Combine like terms: 4x + 3x = 7x 1 + 4x = 18 + 7x Solving 1 + 4x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 4x + -7x = 18 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = 18 + 0 1 + -3x = 18 Add '-1' to each side of the equation. 1 + -1 + -3x = 18 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 18 + -1 -3x = 18 + -1 Combine like terms: 18 + -1 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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