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Simplifying 3x + -1(2 + x) = 7(x + -7) + -13 3x + (2 * -1 + x * -1) = 7(x + -7) + -13 3x + (-2 + -1x) = 7(x + -7) + -13 Reorder the terms: -2 + 3x + -1x = 7(x + -7) + -13 Combine like terms: 3x + -1x = 2x -2 + 2x = 7(x + -7) + -13 Reorder the terms: -2 + 2x = 7(-7 + x) + -13 -2 + 2x = (-7 * 7 + x * 7) + -13 -2 + 2x = (-49 + 7x) + -13 Reorder the terms: -2 + 2x = -49 + -13 + 7x Combine like terms: -49 + -13 = -62 -2 + 2x = -62 + 7x Solving -2 + 2x = -62 + 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 + 2x + -7x = -62 + 7x + -7x Combine like terms: 2x + -7x = -5x -2 + -5x = -62 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -5x = -62 + 0 -2 + -5x = -62 Add '2' to each side of the equation. -2 + 2 + -5x = -62 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -62 + 2 -5x = -62 + 2 Combine like terms: -62 + 2 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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