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Simplifying 19x + -13 = 8 + -4(3x + -1) Reorder the terms: -13 + 19x = 8 + -4(3x + -1) Reorder the terms: -13 + 19x = 8 + -4(-1 + 3x) -13 + 19x = 8 + (-1 * -4 + 3x * -4) -13 + 19x = 8 + (4 + -12x) Combine like terms: 8 + 4 = 12 -13 + 19x = 12 + -12x Solving -13 + 19x = 12 + -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. -13 + 19x + 12x = 12 + -12x + 12x Combine like terms: 19x + 12x = 31x -13 + 31x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 31x = 12 + 0 -13 + 31x = 12 Add '13' to each side of the equation. -13 + 13 + 31x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 31x = 12 + 13 31x = 12 + 13 Combine like terms: 12 + 13 = 25 31x = 25 Divide each side by '31'. x = 0.8064516129 Simplifying x = 0.8064516129
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