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Simplifying 2 + -4(x + 4) = x + -3(x + 5) Reorder the terms: 2 + -4(4 + x) = x + -3(x + 5) 2 + (4 * -4 + x * -4) = x + -3(x + 5) 2 + (-16 + -4x) = x + -3(x + 5) Combine like terms: 2 + -16 = -14 -14 + -4x = x + -3(x + 5) Reorder the terms: -14 + -4x = x + -3(5 + x) -14 + -4x = x + (5 * -3 + x * -3) -14 + -4x = x + (-15 + -3x) Reorder the terms: -14 + -4x = -15 + x + -3x Combine like terms: x + -3x = -2x -14 + -4x = -15 + -2x Solving -14 + -4x = -15 + -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. -14 + -4x + 2x = -15 + -2x + 2x Combine like terms: -4x + 2x = -2x -14 + -2x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + -2x = -15 + 0 -14 + -2x = -15 Add '14' to each side of the equation. -14 + 14 + -2x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -15 + 14 -2x = -15 + 14 Combine like terms: -15 + 14 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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