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Simplifying 7(2x + -4) = 2 + -1(30 + -1x) Reorder the terms: 7(-4 + 2x) = 2 + -1(30 + -1x) (-4 * 7 + 2x * 7) = 2 + -1(30 + -1x) (-28 + 14x) = 2 + -1(30 + -1x) -28 + 14x = 2 + (30 * -1 + -1x * -1) -28 + 14x = 2 + (-30 + 1x) Combine like terms: 2 + -30 = -28 -28 + 14x = -28 + 1x Add '28' to each side of the equation. -28 + 28 + 14x = -28 + 28 + 1x Combine like terms: -28 + 28 = 0 0 + 14x = -28 + 28 + 1x 14x = -28 + 28 + 1x Combine like terms: -28 + 28 = 0 14x = 0 + 1x 14x = 1x Solving 14x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14x + -1x = 1x + -1x Combine like terms: 14x + -1x = 13x 13x = 1x + -1x Combine like terms: 1x + -1x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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