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Simplifying 7(2x + -4) = -4(-2x + -11) Reorder the terms: 7(-4 + 2x) = -4(-2x + -11) (-4 * 7 + 2x * 7) = -4(-2x + -11) (-28 + 14x) = -4(-2x + -11) Reorder the terms: -28 + 14x = -4(-11 + -2x) -28 + 14x = (-11 * -4 + -2x * -4) -28 + 14x = (44 + 8x) Solving -28 + 14x = 44 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -28 + 14x + -8x = 44 + 8x + -8x Combine like terms: 14x + -8x = 6x -28 + 6x = 44 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 6x = 44 + 0 -28 + 6x = 44 Add '28' to each side of the equation. -28 + 28 + 6x = 44 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 44 + 28 6x = 44 + 28 Combine like terms: 44 + 28 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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