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Simplifying 3(x + -5) + -6 = -2(x + -4) Reorder the terms: 3(-5 + x) + -6 = -2(x + -4) (-5 * 3 + x * 3) + -6 = -2(x + -4) (-15 + 3x) + -6 = -2(x + -4) Reorder the terms: -15 + -6 + 3x = -2(x + -4) Combine like terms: -15 + -6 = -21 -21 + 3x = -2(x + -4) Reorder the terms: -21 + 3x = -2(-4 + x) -21 + 3x = (-4 * -2 + x * -2) -21 + 3x = (8 + -2x) Solving -21 + 3x = 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. -21 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -21 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 5x = 8 + 0 -21 + 5x = 8 Add '21' to each side of the equation. -21 + 21 + 5x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 8 + 21 5x = 8 + 21 Combine like terms: 8 + 21 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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