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Simplifying 2(12x + -19) = -2(10 + 9x) Reorder the terms: 2(-19 + 12x) = -2(10 + 9x) (-19 * 2 + 12x * 2) = -2(10 + 9x) (-38 + 24x) = -2(10 + 9x) -38 + 24x = (10 * -2 + 9x * -2) -38 + 24x = (-20 + -18x) Solving -38 + 24x = -20 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -38 + 24x + 18x = -20 + -18x + 18x Combine like terms: 24x + 18x = 42x -38 + 42x = -20 + -18x + 18x Combine like terms: -18x + 18x = 0 -38 + 42x = -20 + 0 -38 + 42x = -20 Add '38' to each side of the equation. -38 + 38 + 42x = -20 + 38 Combine like terms: -38 + 38 = 0 0 + 42x = -20 + 38 42x = -20 + 38 Combine like terms: -20 + 38 = 18 42x = 18 Divide each side by '42'. x = 0.4285714286 Simplifying x = 0.4285714286
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