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Simplifying 3(2x + 5) * 7 = -2(x + -3) + 6x Reorder the terms: 3(5 + 2x) * 7 = -2(x + -3) + 6x Reorder the terms for easier multiplication: 3 * 7(5 + 2x) = -2(x + -3) + 6x Multiply 3 * 7 21(5 + 2x) = -2(x + -3) + 6x (5 * 21 + 2x * 21) = -2(x + -3) + 6x (105 + 42x) = -2(x + -3) + 6x Reorder the terms: 105 + 42x = -2(-3 + x) + 6x 105 + 42x = (-3 * -2 + x * -2) + 6x 105 + 42x = (6 + -2x) + 6x Combine like terms: -2x + 6x = 4x 105 + 42x = 6 + 4x Solving 105 + 42x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 105 + 42x + -4x = 6 + 4x + -4x Combine like terms: 42x + -4x = 38x 105 + 38x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 105 + 38x = 6 + 0 105 + 38x = 6 Add '-105' to each side of the equation. 105 + -105 + 38x = 6 + -105 Combine like terms: 105 + -105 = 0 0 + 38x = 6 + -105 38x = 6 + -105 Combine like terms: 6 + -105 = -99 38x = -99 Divide each side by '38'. x = -2.605263158 Simplifying x = -2.605263158
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