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Simplifying -3(x + 1) + 3(3x + -6) = 5(5x + -4) + 14 Reorder the terms: -3(1 + x) + 3(3x + -6) = 5(5x + -4) + 14 (1 * -3 + x * -3) + 3(3x + -6) = 5(5x + -4) + 14 (-3 + -3x) + 3(3x + -6) = 5(5x + -4) + 14 Reorder the terms: -3 + -3x + 3(-6 + 3x) = 5(5x + -4) + 14 -3 + -3x + (-6 * 3 + 3x * 3) = 5(5x + -4) + 14 -3 + -3x + (-18 + 9x) = 5(5x + -4) + 14 Reorder the terms: -3 + -18 + -3x + 9x = 5(5x + -4) + 14 Combine like terms: -3 + -18 = -21 -21 + -3x + 9x = 5(5x + -4) + 14 Combine like terms: -3x + 9x = 6x -21 + 6x = 5(5x + -4) + 14 Reorder the terms: -21 + 6x = 5(-4 + 5x) + 14 -21 + 6x = (-4 * 5 + 5x * 5) + 14 -21 + 6x = (-20 + 25x) + 14 Reorder the terms: -21 + 6x = -20 + 14 + 25x Combine like terms: -20 + 14 = -6 -21 + 6x = -6 + 25x Solving -21 + 6x = -6 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -21 + 6x + -25x = -6 + 25x + -25x Combine like terms: 6x + -25x = -19x -21 + -19x = -6 + 25x + -25x Combine like terms: 25x + -25x = 0 -21 + -19x = -6 + 0 -21 + -19x = -6 Add '21' to each side of the equation. -21 + 21 + -19x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -19x = -6 + 21 -19x = -6 + 21 Combine like terms: -6 + 21 = 15 -19x = 15 Divide each side by '-19'. x = -0.7894736842 Simplifying x = -0.7894736842
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