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Simplifying -4(x + 4) + 2x + 5 = 7x + 8 Reorder the terms: -4(4 + x) + 2x + 5 = 7x + 8 (4 * -4 + x * -4) + 2x + 5 = 7x + 8 (-16 + -4x) + 2x + 5 = 7x + 8 Reorder the terms: -16 + 5 + -4x + 2x = 7x + 8 Combine like terms: -16 + 5 = -11 -11 + -4x + 2x = 7x + 8 Combine like terms: -4x + 2x = -2x -11 + -2x = 7x + 8 Reorder the terms: -11 + -2x = 8 + 7x Solving -11 + -2x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + -2x + -7x = 8 + 7x + -7x Combine like terms: -2x + -7x = -9x -11 + -9x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -9x = 8 + 0 -11 + -9x = 8 Add '11' to each side of the equation. -11 + 11 + -9x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = 8 + 11 -9x = 8 + 11 Combine like terms: 8 + 11 = 19 -9x = 19 Divide each side by '-9'. x = -2.111111111 Simplifying x = -2.111111111
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