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Simplifying 3(2x + -3) + 5 = 7x + 21 Reorder the terms: 3(-3 + 2x) + 5 = 7x + 21 (-3 * 3 + 2x * 3) + 5 = 7x + 21 (-9 + 6x) + 5 = 7x + 21 Reorder the terms: -9 + 5 + 6x = 7x + 21 Combine like terms: -9 + 5 = -4 -4 + 6x = 7x + 21 Reorder the terms: -4 + 6x = 21 + 7x Solving -4 + 6x = 21 + 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. -4 + 6x + -7x = 21 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = 21 + 0 -4 + -1x = 21 Add '4' to each side of the equation. -4 + 4 + -1x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 21 + 4 -1x = 21 + 4 Combine like terms: 21 + 4 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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