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Simplifying 5x + -7(x + -2) = -4(x + -4) + 2 Reorder the terms: 5x + -7(-2 + x) = -4(x + -4) + 2 5x + (-2 * -7 + x * -7) = -4(x + -4) + 2 5x + (14 + -7x) = -4(x + -4) + 2 Reorder the terms: 14 + 5x + -7x = -4(x + -4) + 2 Combine like terms: 5x + -7x = -2x 14 + -2x = -4(x + -4) + 2 Reorder the terms: 14 + -2x = -4(-4 + x) + 2 14 + -2x = (-4 * -4 + x * -4) + 2 14 + -2x = (16 + -4x) + 2 Reorder the terms: 14 + -2x = 16 + 2 + -4x Combine like terms: 16 + 2 = 18 14 + -2x = 18 + -4x Solving 14 + -2x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + -2x + 4x = 18 + -4x + 4x Combine like terms: -2x + 4x = 2x 14 + 2x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 2x = 18 + 0 14 + 2x = 18 Add '-14' to each side of the equation. 14 + -14 + 2x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 18 + -14 2x = 18 + -14 Combine like terms: 18 + -14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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