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Simplifying 19(x + -1) = 8(4x + -1) Reorder the terms: 19(-1 + x) = 8(4x + -1) (-1 * 19 + x * 19) = 8(4x + -1) (-19 + 19x) = 8(4x + -1) Reorder the terms: -19 + 19x = 8(-1 + 4x) -19 + 19x = (-1 * 8 + 4x * 8) -19 + 19x = (-8 + 32x) Solving -19 + 19x = -8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -19 + 19x + -32x = -8 + 32x + -32x Combine like terms: 19x + -32x = -13x -19 + -13x = -8 + 32x + -32x Combine like terms: 32x + -32x = 0 -19 + -13x = -8 + 0 -19 + -13x = -8 Add '19' to each side of the equation. -19 + 19 + -13x = -8 + 19 Combine like terms: -19 + 19 = 0 0 + -13x = -8 + 19 -13x = -8 + 19 Combine like terms: -8 + 19 = 11 -13x = 11 Divide each side by '-13'. x = -0.8461538462 Simplifying x = -0.8461538462
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