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Simplifying 7x + -3(x + -8) = 2(x + -4) + 4 Reorder the terms: 7x + -3(-8 + x) = 2(x + -4) + 4 7x + (-8 * -3 + x * -3) = 2(x + -4) + 4 7x + (24 + -3x) = 2(x + -4) + 4 Reorder the terms: 24 + 7x + -3x = 2(x + -4) + 4 Combine like terms: 7x + -3x = 4x 24 + 4x = 2(x + -4) + 4 Reorder the terms: 24 + 4x = 2(-4 + x) + 4 24 + 4x = (-4 * 2 + x * 2) + 4 24 + 4x = (-8 + 2x) + 4 Reorder the terms: 24 + 4x = -8 + 4 + 2x Combine like terms: -8 + 4 = -4 24 + 4x = -4 + 2x Solving 24 + 4x = -4 + 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. 24 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x 24 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 2x = -4 + 0 24 + 2x = -4 Add '-24' to each side of the equation. 24 + -24 + 2x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -4 + -24 2x = -4 + -24 Combine like terms: -4 + -24 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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