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Simplifying x + -7(x + -4) = 30 + -5x Reorder the terms: x + -7(-4 + x) = 30 + -5x x + (-4 * -7 + x * -7) = 30 + -5x x + (28 + -7x) = 30 + -5x Reorder the terms: 28 + x + -7x = 30 + -5x Combine like terms: x + -7x = -6x 28 + -6x = 30 + -5x Solving 28 + -6x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 28 + -6x + 5x = 30 + -5x + 5x Combine like terms: -6x + 5x = -1x 28 + -1x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 28 + -1x = 30 + 0 28 + -1x = 30 Add '-28' to each side of the equation. 28 + -28 + -1x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 30 + -28 -1x = 30 + -28 Combine like terms: 30 + -28 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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