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Simplifying 5(x + -2) + 2(1 + -3) = 7x + 12 Reorder the terms: 5(-2 + x) + 2(1 + -3) = 7x + 12 (-2 * 5 + x * 5) + 2(1 + -3) = 7x + 12 (-10 + 5x) + 2(1 + -3) = 7x + 12 Combine like terms: 1 + -3 = -2 -10 + 5x + 2(-2) = 7x + 12 Multiply 2 * -2 -10 + 5x + -4 = 7x + 12 Reorder the terms: -10 + -4 + 5x = 7x + 12 Combine like terms: -10 + -4 = -14 -14 + 5x = 7x + 12 Reorder the terms: -14 + 5x = 12 + 7x Solving -14 + 5x = 12 + 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. -14 + 5x + -7x = 12 + 7x + -7x Combine like terms: 5x + -7x = -2x -14 + -2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -2x = 12 + 0 -14 + -2x = 12 Add '14' to each side of the equation. -14 + 14 + -2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 12 + 14 -2x = 12 + 14 Combine like terms: 12 + 14 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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