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Simplifying 21x + -6x + 12 = 30 + -1x + 5 Reorder the terms: 12 + 21x + -6x = 30 + -1x + 5 Combine like terms: 21x + -6x = 15x 12 + 15x = 30 + -1x + 5 Reorder the terms: 12 + 15x = 30 + 5 + -1x Combine like terms: 30 + 5 = 35 12 + 15x = 35 + -1x Solving 12 + 15x = 35 + -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. 12 + 15x + x = 35 + -1x + x Combine like terms: 15x + x = 16x 12 + 16x = 35 + -1x + x Combine like terms: -1x + x = 0 12 + 16x = 35 + 0 12 + 16x = 35 Add '-12' to each side of the equation. 12 + -12 + 16x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 35 + -12 16x = 35 + -12 Combine like terms: 35 + -12 = 23 16x = 23 Divide each side by '16'. x = 1.4375 Simplifying x = 1.4375
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