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Simplifying 2(x + -4) + 3 = 4(x + 1) Reorder the terms: 2(-4 + x) + 3 = 4(x + 1) (-4 * 2 + x * 2) + 3 = 4(x + 1) (-8 + 2x) + 3 = 4(x + 1) Reorder the terms: -8 + 3 + 2x = 4(x + 1) Combine like terms: -8 + 3 = -5 -5 + 2x = 4(x + 1) Reorder the terms: -5 + 2x = 4(1 + x) -5 + 2x = (1 * 4 + x * 4) -5 + 2x = (4 + 4x) Solving -5 + 2x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = 4 + 0 -5 + -2x = 4 Add '5' to each side of the equation. -5 + 5 + -2x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 4 + 5 -2x = 4 + 5 Combine like terms: 4 + 5 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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