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Simplifying 3x + 2 + 4x + 6 + 8x = 5 + -4x + 3x + -2 + 62 Reorder the terms: 2 + 6 + 3x + 4x + 8x = 5 + -4x + 3x + -2 + 62 Combine like terms: 2 + 6 = 8 8 + 3x + 4x + 8x = 5 + -4x + 3x + -2 + 62 Combine like terms: 3x + 4x = 7x 8 + 7x + 8x = 5 + -4x + 3x + -2 + 62 Combine like terms: 7x + 8x = 15x 8 + 15x = 5 + -4x + 3x + -2 + 62 Reorder the terms: 8 + 15x = 5 + -2 + 62 + -4x + 3x Combine like terms: 5 + -2 = 3 8 + 15x = 3 + 62 + -4x + 3x Combine like terms: 3 + 62 = 65 8 + 15x = 65 + -4x + 3x Combine like terms: -4x + 3x = -1x 8 + 15x = 65 + -1x Solving 8 + 15x = 65 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 15x + x = 65 + -1x + x Combine like terms: 15x + x = 16x 8 + 16x = 65 + -1x + x Combine like terms: -1x + x = 0 8 + 16x = 65 + 0 8 + 16x = 65 Add '-8' to each side of the equation. 8 + -8 + 16x = 65 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 65 + -8 16x = 65 + -8 Combine like terms: 65 + -8 = 57 16x = 57 Divide each side by '16'. x = 3.5625 Simplifying x = 3.5625
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