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Simplifying 5x + -1(-2) = 10x + -3(x + 1) Multiply -1 * -2 5x + 2 = 10x + -3(x + 1) Reorder the terms: 2 + 5x = 10x + -3(x + 1) Reorder the terms: 2 + 5x = 10x + -3(1 + x) 2 + 5x = 10x + (1 * -3 + x * -3) 2 + 5x = 10x + (-3 + -3x) Reorder the terms: 2 + 5x = -3 + 10x + -3x Combine like terms: 10x + -3x = 7x 2 + 5x = -3 + 7x Solving 2 + 5x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 5x + -7x = -3 + 7x + -7x Combine like terms: 5x + -7x = -2x 2 + -2x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -2x = -3 + 0 2 + -2x = -3 Add '-2' to each side of the equation. 2 + -2 + -2x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -3 + -2 -2x = -3 + -2 Combine like terms: -3 + -2 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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