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Simplifying 7x + -3(x + 10) = 2(x + -4) Reorder the terms: 7x + -3(10 + x) = 2(x + -4) 7x + (10 * -3 + x * -3) = 2(x + -4) 7x + (-30 + -3x) = 2(x + -4) Reorder the terms: -30 + 7x + -3x = 2(x + -4) Combine like terms: 7x + -3x = 4x -30 + 4x = 2(x + -4) Reorder the terms: -30 + 4x = 2(-4 + x) -30 + 4x = (-4 * 2 + x * 2) -30 + 4x = (-8 + 2x) Solving -30 + 4x = -8 + 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 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -30 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 2x = -8 + 0 -30 + 2x = -8 Add '30' to each side of the equation. -30 + 30 + 2x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -8 + 30 2x = -8 + 30 Combine like terms: -8 + 30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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