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Simplifying 3(3x + 7) + 2(1 + -2x) = (-15 + 6x) Reorder the terms: 3(7 + 3x) + 2(1 + -2x) = (-15 + 6x) (7 * 3 + 3x * 3) + 2(1 + -2x) = (-15 + 6x) (21 + 9x) + 2(1 + -2x) = (-15 + 6x) 21 + 9x + (1 * 2 + -2x * 2) = (-15 + 6x) 21 + 9x + (2 + -4x) = (-15 + 6x) Reorder the terms: 21 + 2 + 9x + -4x = (-15 + 6x) Combine like terms: 21 + 2 = 23 23 + 9x + -4x = (-15 + 6x) Combine like terms: 9x + -4x = 5x 23 + 5x = (-15 + 6x) Remove parenthesis around (-15 + 6x) 23 + 5x = -15 + 6x Solving 23 + 5x = -15 + 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. 23 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x 23 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -1x = -15 + 0 23 + -1x = -15 Add '-23' to each side of the equation. 23 + -23 + -1x = -15 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = -15 + -23 -1x = -15 + -23 Combine like terms: -15 + -23 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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