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Simplifying 7(x + 6) + -14 = 3(2x + -11) + -14 Reorder the terms: 7(6 + x) + -14 = 3(2x + -11) + -14 (6 * 7 + x * 7) + -14 = 3(2x + -11) + -14 (42 + 7x) + -14 = 3(2x + -11) + -14 Reorder the terms: 42 + -14 + 7x = 3(2x + -11) + -14 Combine like terms: 42 + -14 = 28 28 + 7x = 3(2x + -11) + -14 Reorder the terms: 28 + 7x = 3(-11 + 2x) + -14 28 + 7x = (-11 * 3 + 2x * 3) + -14 28 + 7x = (-33 + 6x) + -14 Reorder the terms: 28 + 7x = -33 + -14 + 6x Combine like terms: -33 + -14 = -47 28 + 7x = -47 + 6x Solving 28 + 7x = -47 + 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. 28 + 7x + -6x = -47 + 6x + -6x Combine like terms: 7x + -6x = 1x 28 + 1x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 1x = -47 + 0 28 + 1x = -47 Add '-28' to each side of the equation. 28 + -28 + 1x = -47 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -47 + -28 1x = -47 + -28 Combine like terms: -47 + -28 = -75 1x = -75 Divide each side by '1'. x = -75 Simplifying x = -75
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