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Simplifying 7(x + -6) + 19 = 4(x + -5) Reorder the terms: 7(-6 + x) + 19 = 4(x + -5) (-6 * 7 + x * 7) + 19 = 4(x + -5) (-42 + 7x) + 19 = 4(x + -5) Reorder the terms: -42 + 19 + 7x = 4(x + -5) Combine like terms: -42 + 19 = -23 -23 + 7x = 4(x + -5) Reorder the terms: -23 + 7x = 4(-5 + x) -23 + 7x = (-5 * 4 + x * 4) -23 + 7x = (-20 + 4x) Solving -23 + 7x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -23 + 7x + -4x = -20 + 4x + -4x Combine like terms: 7x + -4x = 3x -23 + 3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 3x = -20 + 0 -23 + 3x = -20 Add '23' to each side of the equation. -23 + 23 + 3x = -20 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -20 + 23 3x = -20 + 23 Combine like terms: -20 + 23 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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