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Simplifying 4x + -1(x + 8) = 2(x + -3) Reorder the terms: 4x + -1(8 + x) = 2(x + -3) 4x + (8 * -1 + x * -1) = 2(x + -3) 4x + (-8 + -1x) = 2(x + -3) Reorder the terms: -8 + 4x + -1x = 2(x + -3) Combine like terms: 4x + -1x = 3x -8 + 3x = 2(x + -3) Reorder the terms: -8 + 3x = 2(-3 + x) -8 + 3x = (-3 * 2 + x * 2) -8 + 3x = (-6 + 2x) Solving -8 + 3x = -6 + 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. -8 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = -6 + 0 -8 + 1x = -6 Add '8' to each side of the equation. -8 + 8 + 1x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -6 + 8 1x = -6 + 8 Combine like terms: -6 + 8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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