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Simplifying 7(2x + -11) = 3(2x + -4) + 7 Reorder the terms: 7(-11 + 2x) = 3(2x + -4) + 7 (-11 * 7 + 2x * 7) = 3(2x + -4) + 7 (-77 + 14x) = 3(2x + -4) + 7 Reorder the terms: -77 + 14x = 3(-4 + 2x) + 7 -77 + 14x = (-4 * 3 + 2x * 3) + 7 -77 + 14x = (-12 + 6x) + 7 Reorder the terms: -77 + 14x = -12 + 7 + 6x Combine like terms: -12 + 7 = -5 -77 + 14x = -5 + 6x Solving -77 + 14x = -5 + 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. -77 + 14x + -6x = -5 + 6x + -6x Combine like terms: 14x + -6x = 8x -77 + 8x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -77 + 8x = -5 + 0 -77 + 8x = -5 Add '77' to each side of the equation. -77 + 77 + 8x = -5 + 77 Combine like terms: -77 + 77 = 0 0 + 8x = -5 + 77 8x = -5 + 77 Combine like terms: -5 + 77 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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