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Simplifying 4x + 1 + -3(x + 2) = 2(x + -4) Reorder the terms: 4x + 1 + -3(2 + x) = 2(x + -4) 4x + 1 + (2 * -3 + x * -3) = 2(x + -4) 4x + 1 + (-6 + -3x) = 2(x + -4) Reorder the terms: 1 + -6 + 4x + -3x = 2(x + -4) Combine like terms: 1 + -6 = -5 -5 + 4x + -3x = 2(x + -4) Combine like terms: 4x + -3x = 1x -5 + 1x = 2(x + -4) Reorder the terms: -5 + 1x = 2(-4 + x) -5 + 1x = (-4 * 2 + x * 2) -5 + 1x = (-8 + 2x) Solving -5 + 1x = -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. -5 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = -8 + 0 -5 + -1x = -8 Add '5' to each side of the equation. -5 + 5 + -1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -8 + 5 -1x = -8 + 5 Combine like terms: -8 + 5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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