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Simplifying 7(x + -8) + 18 = 4(x + -5) Reorder the terms: 7(-8 + x) + 18 = 4(x + -5) (-8 * 7 + x * 7) + 18 = 4(x + -5) (-56 + 7x) + 18 = 4(x + -5) Reorder the terms: -56 + 18 + 7x = 4(x + -5) Combine like terms: -56 + 18 = -38 -38 + 7x = 4(x + -5) Reorder the terms: -38 + 7x = 4(-5 + x) -38 + 7x = (-5 * 4 + x * 4) -38 + 7x = (-20 + 4x) Solving -38 + 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. -38 + 7x + -4x = -20 + 4x + -4x Combine like terms: 7x + -4x = 3x -38 + 3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 3x = -20 + 0 -38 + 3x = -20 Add '38' to each side of the equation. -38 + 38 + 3x = -20 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = -20 + 38 3x = -20 + 38 Combine like terms: -20 + 38 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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