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Simplifying -10(-4x + -19) = 3x + 46 Reorder the terms: -10(-19 + -4x) = 3x + 46 (-19 * -10 + -4x * -10) = 3x + 46 (190 + 40x) = 3x + 46 Reorder the terms: 190 + 40x = 46 + 3x Solving 190 + 40x = 46 + 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. 190 + 40x + -3x = 46 + 3x + -3x Combine like terms: 40x + -3x = 37x 190 + 37x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 190 + 37x = 46 + 0 190 + 37x = 46 Add '-190' to each side of the equation. 190 + -190 + 37x = 46 + -190 Combine like terms: 190 + -190 = 0 0 + 37x = 46 + -190 37x = 46 + -190 Combine like terms: 46 + -190 = -144 37x = -144 Divide each side by '37'. x = -3.891891892 Simplifying x = -3.891891892
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