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Simplifying 4(x + -5) + 19 = x + 17 Reorder the terms: 4(-5 + x) + 19 = x + 17 (-5 * 4 + x * 4) + 19 = x + 17 (-20 + 4x) + 19 = x + 17 Reorder the terms: -20 + 19 + 4x = x + 17 Combine like terms: -20 + 19 = -1 -1 + 4x = x + 17 Reorder the terms: -1 + 4x = 17 + x Solving -1 + 4x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 4x + -1x = 17 + x + -1x Combine like terms: 4x + -1x = 3x -1 + 3x = 17 + x + -1x Combine like terms: x + -1x = 0 -1 + 3x = 17 + 0 -1 + 3x = 17 Add '1' to each side of the equation. -1 + 1 + 3x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 17 + 1 3x = 17 + 1 Combine like terms: 17 + 1 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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