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Simplifying 5x + x + 10 + 5x + x + 10 = 3x + 5x + -6 + 3x + 5x + -6 Reorder the terms: 10 + 10 + 5x + x + 5x + x = 3x + 5x + -6 + 3x + 5x + -6 Combine like terms: 10 + 10 = 20 20 + 5x + x + 5x + x = 3x + 5x + -6 + 3x + 5x + -6 Combine like terms: 5x + x = 6x 20 + 6x + 5x + x = 3x + 5x + -6 + 3x + 5x + -6 Combine like terms: 6x + 5x = 11x 20 + 11x + x = 3x + 5x + -6 + 3x + 5x + -6 Combine like terms: 11x + x = 12x 20 + 12x = 3x + 5x + -6 + 3x + 5x + -6 Reorder the terms: 20 + 12x = -6 + -6 + 3x + 5x + 3x + 5x Combine like terms: -6 + -6 = -12 20 + 12x = -12 + 3x + 5x + 3x + 5x Combine like terms: 3x + 5x = 8x 20 + 12x = -12 + 8x + 3x + 5x Combine like terms: 8x + 3x = 11x 20 + 12x = -12 + 11x + 5x Combine like terms: 11x + 5x = 16x 20 + 12x = -12 + 16x Solving 20 + 12x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 12x + -16x = -12 + 16x + -16x Combine like terms: 12x + -16x = -4x 20 + -4x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -4x = -12 + 0 20 + -4x = -12 Add '-20' to each side of the equation. 20 + -20 + -4x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -12 + -20 -4x = -12 + -20 Combine like terms: -12 + -20 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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