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Simplifying 2(x + -4) + 3 = x + -3(x + 1) Reorder the terms: 2(-4 + x) + 3 = x + -3(x + 1) (-4 * 2 + x * 2) + 3 = x + -3(x + 1) (-8 + 2x) + 3 = x + -3(x + 1) Reorder the terms: -8 + 3 + 2x = x + -3(x + 1) Combine like terms: -8 + 3 = -5 -5 + 2x = x + -3(x + 1) Reorder the terms: -5 + 2x = x + -3(1 + x) -5 + 2x = x + (1 * -3 + x * -3) -5 + 2x = x + (-3 + -3x) Reorder the terms: -5 + 2x = -3 + x + -3x Combine like terms: x + -3x = -2x -5 + 2x = -3 + -2x Solving -5 + 2x = -3 + -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 + 2x + 2x = -3 + -2x + 2x Combine like terms: 2x + 2x = 4x -5 + 4x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 4x = -3 + 0 -5 + 4x = -3 Add '5' to each side of the equation. -5 + 5 + 4x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -3 + 5 4x = -3 + 5 Combine like terms: -3 + 5 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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