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Simplifying 10(x + -2) + 15 = 8x + 7(3 + x) Reorder the terms: 10(-2 + x) + 15 = 8x + 7(3 + x) (-2 * 10 + x * 10) + 15 = 8x + 7(3 + x) (-20 + 10x) + 15 = 8x + 7(3 + x) Reorder the terms: -20 + 15 + 10x = 8x + 7(3 + x) Combine like terms: -20 + 15 = -5 -5 + 10x = 8x + 7(3 + x) -5 + 10x = 8x + (3 * 7 + x * 7) -5 + 10x = 8x + (21 + 7x) Reorder the terms: -5 + 10x = 21 + 8x + 7x Combine like terms: 8x + 7x = 15x -5 + 10x = 21 + 15x Solving -5 + 10x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 10x + -15x = 21 + 15x + -15x Combine like terms: 10x + -15x = -5x -5 + -5x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -5x = 21 + 0 -5 + -5x = 21 Add '5' to each side of the equation. -5 + 5 + -5x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 21 + 5 -5x = 21 + 5 Combine like terms: 21 + 5 = 26 -5x = 26 Divide each side by '-5'. x = -5.2 Simplifying x = -5.2
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