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Simplifying 10 + -4(x + 7) = 2(1 + -1x) Reorder the terms: 10 + -4(7 + x) = 2(1 + -1x) 10 + (7 * -4 + x * -4) = 2(1 + -1x) 10 + (-28 + -4x) = 2(1 + -1x) Combine like terms: 10 + -28 = -18 -18 + -4x = 2(1 + -1x) -18 + -4x = (1 * 2 + -1x * 2) -18 + -4x = (2 + -2x) Solving -18 + -4x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + -4x + 2x = 2 + -2x + 2x Combine like terms: -4x + 2x = -2x -18 + -2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + -2x = 2 + 0 -18 + -2x = 2 Add '18' to each side of the equation. -18 + 18 + -2x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 2 + 18 -2x = 2 + 18 Combine like terms: 2 + 18 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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