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Simplifying 5(x + -2) + -2 = 2(x + 1) * 5 Reorder the terms: 5(-2 + x) + -2 = 2(x + 1) * 5 (-2 * 5 + x * 5) + -2 = 2(x + 1) * 5 (-10 + 5x) + -2 = 2(x + 1) * 5 Reorder the terms: -10 + -2 + 5x = 2(x + 1) * 5 Combine like terms: -10 + -2 = -12 -12 + 5x = 2(x + 1) * 5 Reorder the terms: -12 + 5x = 2(1 + x) * 5 Reorder the terms for easier multiplication: -12 + 5x = 2 * 5(1 + x) Multiply 2 * 5 -12 + 5x = 10(1 + x) -12 + 5x = (1 * 10 + x * 10) -12 + 5x = (10 + 10x) Solving -12 + 5x = 10 + 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. -12 + 5x + -10x = 10 + 10x + -10x Combine like terms: 5x + -10x = -5x -12 + -5x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -5x = 10 + 0 -12 + -5x = 10 Add '12' to each side of the equation. -12 + 12 + -5x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 10 + 12 -5x = 10 + 12 Combine like terms: 10 + 12 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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