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Simplifying 5(3x + -5) + 4(14 + -2x) + -2(3x + 3) = -2 Reorder the terms: 5(-5 + 3x) + 4(14 + -2x) + -2(3x + 3) = -2 (-5 * 5 + 3x * 5) + 4(14 + -2x) + -2(3x + 3) = -2 (-25 + 15x) + 4(14 + -2x) + -2(3x + 3) = -2 -25 + 15x + (14 * 4 + -2x * 4) + -2(3x + 3) = -2 -25 + 15x + (56 + -8x) + -2(3x + 3) = -2 Reorder the terms: -25 + 15x + 56 + -8x + -2(3 + 3x) = -2 -25 + 15x + 56 + -8x + (3 * -2 + 3x * -2) = -2 -25 + 15x + 56 + -8x + (-6 + -6x) = -2 Reorder the terms: -25 + 56 + -6 + 15x + -8x + -6x = -2 Combine like terms: -25 + 56 = 31 31 + -6 + 15x + -8x + -6x = -2 Combine like terms: 31 + -6 = 25 25 + 15x + -8x + -6x = -2 Combine like terms: 15x + -8x = 7x 25 + 7x + -6x = -2 Combine like terms: 7x + -6x = 1x 25 + 1x = -2 Solving 25 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -2 + -25 1x = -2 + -25 Combine like terms: -2 + -25 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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