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Simplifying 2(x + -7) + 10 = 7x + -1(x + 4) Reorder the terms: 2(-7 + x) + 10 = 7x + -1(x + 4) (-7 * 2 + x * 2) + 10 = 7x + -1(x + 4) (-14 + 2x) + 10 = 7x + -1(x + 4) Reorder the terms: -14 + 10 + 2x = 7x + -1(x + 4) Combine like terms: -14 + 10 = -4 -4 + 2x = 7x + -1(x + 4) Reorder the terms: -4 + 2x = 7x + -1(4 + x) -4 + 2x = 7x + (4 * -1 + x * -1) -4 + 2x = 7x + (-4 + -1x) Reorder the terms: -4 + 2x = -4 + 7x + -1x Combine like terms: 7x + -1x = 6x -4 + 2x = -4 + 6x Add '4' to each side of the equation. -4 + 4 + 2x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 2x = -4 + 4 + 6x 2x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 2x = 0 + 6x 2x = 6x Solving 2x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x -4x = 6x + -6x Combine like terms: 6x + -6x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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