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Simplifying 3x + -5 = 19x + -1(x + -2) Reorder the terms: -5 + 3x = 19x + -1(x + -2) Reorder the terms: -5 + 3x = 19x + -1(-2 + x) -5 + 3x = 19x + (-2 * -1 + x * -1) -5 + 3x = 19x + (2 + -1x) Reorder the terms: -5 + 3x = 2 + 19x + -1x Combine like terms: 19x + -1x = 18x -5 + 3x = 2 + 18x Solving -5 + 3x = 2 + 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. -5 + 3x + -18x = 2 + 18x + -18x Combine like terms: 3x + -18x = -15x -5 + -15x = 2 + 18x + -18x Combine like terms: 18x + -18x = 0 -5 + -15x = 2 + 0 -5 + -15x = 2 Add '5' to each side of the equation. -5 + 5 + -15x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = 2 + 5 -15x = 2 + 5 Combine like terms: 2 + 5 = 7 -15x = 7 Divide each side by '-15'. x = -0.4666666667 Simplifying x = -0.4666666667
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