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Simplifying -8(x + -4) = 5x + 19 Reorder the terms: -8(-4 + x) = 5x + 19 (-4 * -8 + x * -8) = 5x + 19 (32 + -8x) = 5x + 19 Reorder the terms: 32 + -8x = 19 + 5x Solving 32 + -8x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + -8x + -5x = 19 + 5x + -5x Combine like terms: -8x + -5x = -13x 32 + -13x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -13x = 19 + 0 32 + -13x = 19 Add '-32' to each side of the equation. 32 + -32 + -13x = 19 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = 19 + -32 -13x = 19 + -32 Combine like terms: 19 + -32 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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