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Simplifying 7 + -4x + 7(x + -4) = 2(x + -5) Reorder the terms: 7 + -4x + 7(-4 + x) = 2(x + -5) 7 + -4x + (-4 * 7 + x * 7) = 2(x + -5) 7 + -4x + (-28 + 7x) = 2(x + -5) Reorder the terms: 7 + -28 + -4x + 7x = 2(x + -5) Combine like terms: 7 + -28 = -21 -21 + -4x + 7x = 2(x + -5) Combine like terms: -4x + 7x = 3x -21 + 3x = 2(x + -5) Reorder the terms: -21 + 3x = 2(-5 + x) -21 + 3x = (-5 * 2 + x * 2) -21 + 3x = (-10 + 2x) Solving -21 + 3x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = -10 + 0 -21 + 1x = -10 Add '21' to each side of the equation. -21 + 21 + 1x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -10 + 21 1x = -10 + 21 Combine like terms: -10 + 21 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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