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Simplifying 5(x + -6) + -57 = 2x + -21 Reorder the terms: 5(-6 + x) + -57 = 2x + -21 (-6 * 5 + x * 5) + -57 = 2x + -21 (-30 + 5x) + -57 = 2x + -21 Reorder the terms: -30 + -57 + 5x = 2x + -21 Combine like terms: -30 + -57 = -87 -87 + 5x = 2x + -21 Reorder the terms: -87 + 5x = -21 + 2x Solving -87 + 5x = -21 + 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. -87 + 5x + -2x = -21 + 2x + -2x Combine like terms: 5x + -2x = 3x -87 + 3x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -87 + 3x = -21 + 0 -87 + 3x = -21 Add '87' to each side of the equation. -87 + 87 + 3x = -21 + 87 Combine like terms: -87 + 87 = 0 0 + 3x = -21 + 87 3x = -21 + 87 Combine like terms: -21 + 87 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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