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Simplifying x + -3(x + 10) = 2(x + 7) Reorder the terms: x + -3(10 + x) = 2(x + 7) x + (10 * -3 + x * -3) = 2(x + 7) x + (-30 + -3x) = 2(x + 7) Reorder the terms: -30 + x + -3x = 2(x + 7) Combine like terms: x + -3x = -2x -30 + -2x = 2(x + 7) Reorder the terms: -30 + -2x = 2(7 + x) -30 + -2x = (7 * 2 + x * 2) -30 + -2x = (14 + 2x) Solving -30 + -2x = 14 + 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. -30 + -2x + -2x = 14 + 2x + -2x Combine like terms: -2x + -2x = -4x -30 + -4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -4x = 14 + 0 -30 + -4x = 14 Add '30' to each side of the equation. -30 + 30 + -4x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = 14 + 30 -4x = 14 + 30 Combine like terms: 14 + 30 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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