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Simplifying 2 + 2x + 100 + -3x + 5 = 8x + 3x + 15 + 13 + 16 Reorder the terms: 2 + 100 + 5 + 2x + -3x = 8x + 3x + 15 + 13 + 16 Combine like terms: 2 + 100 = 102 102 + 5 + 2x + -3x = 8x + 3x + 15 + 13 + 16 Combine like terms: 102 + 5 = 107 107 + 2x + -3x = 8x + 3x + 15 + 13 + 16 Combine like terms: 2x + -3x = -1x 107 + -1x = 8x + 3x + 15 + 13 + 16 Reorder the terms: 107 + -1x = 15 + 13 + 16 + 8x + 3x Combine like terms: 15 + 13 = 28 107 + -1x = 28 + 16 + 8x + 3x Combine like terms: 28 + 16 = 44 107 + -1x = 44 + 8x + 3x Combine like terms: 8x + 3x = 11x 107 + -1x = 44 + 11x Solving 107 + -1x = 44 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 107 + -1x + -11x = 44 + 11x + -11x Combine like terms: -1x + -11x = -12x 107 + -12x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 107 + -12x = 44 + 0 107 + -12x = 44 Add '-107' to each side of the equation. 107 + -107 + -12x = 44 + -107 Combine like terms: 107 + -107 = 0 0 + -12x = 44 + -107 -12x = 44 + -107 Combine like terms: 44 + -107 = -63 -12x = -63 Divide each side by '-12'. x = 5.25 Simplifying x = 5.25
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