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Simplifying 4(x + 1) + -5(1 + 3x) = 9x + -3(2x + 2) Reorder the terms: 4(1 + x) + -5(1 + 3x) = 9x + -3(2x + 2) (1 * 4 + x * 4) + -5(1 + 3x) = 9x + -3(2x + 2) (4 + 4x) + -5(1 + 3x) = 9x + -3(2x + 2) 4 + 4x + (1 * -5 + 3x * -5) = 9x + -3(2x + 2) 4 + 4x + (-5 + -15x) = 9x + -3(2x + 2) Reorder the terms: 4 + -5 + 4x + -15x = 9x + -3(2x + 2) Combine like terms: 4 + -5 = -1 -1 + 4x + -15x = 9x + -3(2x + 2) Combine like terms: 4x + -15x = -11x -1 + -11x = 9x + -3(2x + 2) Reorder the terms: -1 + -11x = 9x + -3(2 + 2x) -1 + -11x = 9x + (2 * -3 + 2x * -3) -1 + -11x = 9x + (-6 + -6x) Reorder the terms: -1 + -11x = -6 + 9x + -6x Combine like terms: 9x + -6x = 3x -1 + -11x = -6 + 3x Solving -1 + -11x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -11x + -3x = -6 + 3x + -3x Combine like terms: -11x + -3x = -14x -1 + -14x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -14x = -6 + 0 -1 + -14x = -6 Add '1' to each side of the equation. -1 + 1 + -14x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -14x = -6 + 1 -14x = -6 + 1 Combine like terms: -6 + 1 = -5 -14x = -5 Divide each side by '-14'. x = 0.3571428571 Simplifying x = 0.3571428571
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