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Simplifying -4(x + 1) = 5x + -8 + 3(3x + 4) Reorder the terms: -4(1 + x) = 5x + -8 + 3(3x + 4) (1 * -4 + x * -4) = 5x + -8 + 3(3x + 4) (-4 + -4x) = 5x + -8 + 3(3x + 4) Reorder the terms: -4 + -4x = 5x + -8 + 3(4 + 3x) -4 + -4x = 5x + -8 + (4 * 3 + 3x * 3) -4 + -4x = 5x + -8 + (12 + 9x) Reorder the terms: -4 + -4x = -8 + 12 + 5x + 9x Combine like terms: -8 + 12 = 4 -4 + -4x = 4 + 5x + 9x Combine like terms: 5x + 9x = 14x -4 + -4x = 4 + 14x Solving -4 + -4x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4 + -4x + -14x = 4 + 14x + -14x Combine like terms: -4x + -14x = -18x -4 + -18x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -18x = 4 + 0 -4 + -18x = 4 Add '4' to each side of the equation. -4 + 4 + -18x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 4 + 4 -18x = 4 + 4 Combine like terms: 4 + 4 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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