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Simplifying 10x + 10 = 8x + 7 + 4x + -2 Reorder the terms: 10 + 10x = 8x + 7 + 4x + -2 Reorder the terms: 10 + 10x = 7 + -2 + 8x + 4x Combine like terms: 7 + -2 = 5 10 + 10x = 5 + 8x + 4x Combine like terms: 8x + 4x = 12x 10 + 10x = 5 + 12x Solving 10 + 10x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 10x + -12x = 5 + 12x + -12x Combine like terms: 10x + -12x = -2x 10 + -2x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -2x = 5 + 0 10 + -2x = 5 Add '-10' to each side of the equation. 10 + -10 + -2x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 5 + -10 -2x = 5 + -10 Combine like terms: 5 + -10 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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