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Simplifying 5x + 19 = 2(x + -4) Reorder the terms: 19 + 5x = 2(x + -4) Reorder the terms: 19 + 5x = 2(-4 + x) 19 + 5x = (-4 * 2 + x * 2) 19 + 5x = (-8 + 2x) Solving 19 + 5x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 5x + -2x = -8 + 2x + -2x Combine like terms: 5x + -2x = 3x 19 + 3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 3x = -8 + 0 19 + 3x = -8 Add '-19' to each side of the equation. 19 + -19 + 3x = -8 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = -8 + -19 3x = -8 + -19 Combine like terms: -8 + -19 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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