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Simplifying 16 + 4x + 18 + -3x = 5x + 6 + 3x + -2 Reorder the terms: 16 + 18 + 4x + -3x = 5x + 6 + 3x + -2 Combine like terms: 16 + 18 = 34 34 + 4x + -3x = 5x + 6 + 3x + -2 Combine like terms: 4x + -3x = 1x 34 + 1x = 5x + 6 + 3x + -2 Reorder the terms: 34 + 1x = 6 + -2 + 5x + 3x Combine like terms: 6 + -2 = 4 34 + 1x = 4 + 5x + 3x Combine like terms: 5x + 3x = 8x 34 + 1x = 4 + 8x Solving 34 + 1x = 4 + 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. 34 + 1x + -8x = 4 + 8x + -8x Combine like terms: 1x + -8x = -7x 34 + -7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -7x = 4 + 0 34 + -7x = 4 Add '-34' to each side of the equation. 34 + -34 + -7x = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 4 + -34 -7x = 4 + -34 Combine like terms: 4 + -34 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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