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Simplifying 5x + -2 = 3(2x + 7) Reorder the terms: -2 + 5x = 3(2x + 7) Reorder the terms: -2 + 5x = 3(7 + 2x) -2 + 5x = (7 * 3 + 2x * 3) -2 + 5x = (21 + 6x) Solving -2 + 5x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 5x + -6x = 21 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = 21 + 0 -2 + -1x = 21 Add '2' to each side of the equation. -2 + 2 + -1x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 21 + 2 -1x = 21 + 2 Combine like terms: 21 + 2 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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