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Simplifying 12(x + -4) = 7x + -23 Reorder the terms: 12(-4 + x) = 7x + -23 (-4 * 12 + x * 12) = 7x + -23 (-48 + 12x) = 7x + -23 Reorder the terms: -48 + 12x = -23 + 7x Solving -48 + 12x = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -48 + 12x + -7x = -23 + 7x + -7x Combine like terms: 12x + -7x = 5x -48 + 5x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 5x = -23 + 0 -48 + 5x = -23 Add '48' to each side of the equation. -48 + 48 + 5x = -23 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = -23 + 48 5x = -23 + 48 Combine like terms: -23 + 48 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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