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Simplifying 3x + 15 + 10x + -5 + -21x + -8 = 28x + -84 + -18x + 30 Reorder the terms: 15 + -5 + -8 + 3x + 10x + -21x = 28x + -84 + -18x + 30 Combine like terms: 15 + -5 = 10 10 + -8 + 3x + 10x + -21x = 28x + -84 + -18x + 30 Combine like terms: 10 + -8 = 2 2 + 3x + 10x + -21x = 28x + -84 + -18x + 30 Combine like terms: 3x + 10x = 13x 2 + 13x + -21x = 28x + -84 + -18x + 30 Combine like terms: 13x + -21x = -8x 2 + -8x = 28x + -84 + -18x + 30 Reorder the terms: 2 + -8x = -84 + 30 + 28x + -18x Combine like terms: -84 + 30 = -54 2 + -8x = -54 + 28x + -18x Combine like terms: 28x + -18x = 10x 2 + -8x = -54 + 10x Solving 2 + -8x = -54 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -8x + -10x = -54 + 10x + -10x Combine like terms: -8x + -10x = -18x 2 + -18x = -54 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -18x = -54 + 0 2 + -18x = -54 Add '-2' to each side of the equation. 2 + -2 + -18x = -54 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = -54 + -2 -18x = -54 + -2 Combine like terms: -54 + -2 = -56 -18x = -56 Divide each side by '-18'. x = 3.111111111 Simplifying x = 3.111111111
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