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Simplifying 4(7x + -12) = 2(7x + 11) Reorder the terms: 4(-12 + 7x) = 2(7x + 11) (-12 * 4 + 7x * 4) = 2(7x + 11) (-48 + 28x) = 2(7x + 11) Reorder the terms: -48 + 28x = 2(11 + 7x) -48 + 28x = (11 * 2 + 7x * 2) -48 + 28x = (22 + 14x) Solving -48 + 28x = 22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -48 + 28x + -14x = 22 + 14x + -14x Combine like terms: 28x + -14x = 14x -48 + 14x = 22 + 14x + -14x Combine like terms: 14x + -14x = 0 -48 + 14x = 22 + 0 -48 + 14x = 22 Add '48' to each side of the equation. -48 + 48 + 14x = 22 + 48 Combine like terms: -48 + 48 = 0 0 + 14x = 22 + 48 14x = 22 + 48 Combine like terms: 22 + 48 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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