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Simplifying 2x + -2(5x + 3) = 12(x + -3) + 17 Reorder the terms: 2x + -2(3 + 5x) = 12(x + -3) + 17 2x + (3 * -2 + 5x * -2) = 12(x + -3) + 17 2x + (-6 + -10x) = 12(x + -3) + 17 Reorder the terms: -6 + 2x + -10x = 12(x + -3) + 17 Combine like terms: 2x + -10x = -8x -6 + -8x = 12(x + -3) + 17 Reorder the terms: -6 + -8x = 12(-3 + x) + 17 -6 + -8x = (-3 * 12 + x * 12) + 17 -6 + -8x = (-36 + 12x) + 17 Reorder the terms: -6 + -8x = -36 + 17 + 12x Combine like terms: -36 + 17 = -19 -6 + -8x = -19 + 12x Solving -6 + -8x = -19 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -8x + -12x = -19 + 12x + -12x Combine like terms: -8x + -12x = -20x -6 + -20x = -19 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -20x = -19 + 0 -6 + -20x = -19 Add '6' to each side of the equation. -6 + 6 + -20x = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -20x = -19 + 6 -20x = -19 + 6 Combine like terms: -19 + 6 = -13 -20x = -13 Divide each side by '-20'. x = 0.65 Simplifying x = 0.65
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