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Simplifying 7(-4x + -6) = 7(x + 4) Reorder the terms: 7(-6 + -4x) = 7(x + 4) (-6 * 7 + -4x * 7) = 7(x + 4) (-42 + -28x) = 7(x + 4) Reorder the terms: -42 + -28x = 7(4 + x) -42 + -28x = (4 * 7 + x * 7) -42 + -28x = (28 + 7x) Solving -42 + -28x = 28 + 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. -42 + -28x + -7x = 28 + 7x + -7x Combine like terms: -28x + -7x = -35x -42 + -35x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -35x = 28 + 0 -42 + -35x = 28 Add '42' to each side of the equation. -42 + 42 + -35x = 28 + 42 Combine like terms: -42 + 42 = 0 0 + -35x = 28 + 42 -35x = 28 + 42 Combine like terms: 28 + 42 = 70 -35x = 70 Divide each side by '-35'. x = -2 Simplifying x = -2
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