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Simplifying 6[18 + -5(x + 1)] = 28 + -5x Reorder the terms: 6[18 + -5(1 + x)] = 28 + -5x 6[18 + (1 * -5 + x * -5)] = 28 + -5x 6[18 + (-5 + -5x)] = 28 + -5x Combine like terms: 18 + -5 = 13 6[13 + -5x] = 28 + -5x [13 * 6 + -5x * 6] = 28 + -5x [78 + -30x] = 28 + -5x Solving 78 + -30x = 28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 78 + -30x + 5x = 28 + -5x + 5x Combine like terms: -30x + 5x = -25x 78 + -25x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 78 + -25x = 28 + 0 78 + -25x = 28 Add '-78' to each side of the equation. 78 + -78 + -25x = 28 + -78 Combine like terms: 78 + -78 = 0 0 + -25x = 28 + -78 -25x = 28 + -78 Combine like terms: 28 + -78 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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