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Simplifying -4(x + 4) + 5 = -3 + -2(8 + x) Reorder the terms: -4(4 + x) + 5 = -3 + -2(8 + x) (4 * -4 + x * -4) + 5 = -3 + -2(8 + x) (-16 + -4x) + 5 = -3 + -2(8 + x) Reorder the terms: -16 + 5 + -4x = -3 + -2(8 + x) Combine like terms: -16 + 5 = -11 -11 + -4x = -3 + -2(8 + x) -11 + -4x = -3 + (8 * -2 + x * -2) -11 + -4x = -3 + (-16 + -2x) Combine like terms: -3 + -16 = -19 -11 + -4x = -19 + -2x Solving -11 + -4x = -19 + -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. -11 + -4x + 2x = -19 + -2x + 2x Combine like terms: -4x + 2x = -2x -11 + -2x = -19 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + -2x = -19 + 0 -11 + -2x = -19 Add '11' to each side of the equation. -11 + 11 + -2x = -19 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -19 + 11 -2x = -19 + 11 Combine like terms: -19 + 11 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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