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Simplifying 3(2x + -11) = 5 + 2(7x + -15) Reorder the terms: 3(-11 + 2x) = 5 + 2(7x + -15) (-11 * 3 + 2x * 3) = 5 + 2(7x + -15) (-33 + 6x) = 5 + 2(7x + -15) Reorder the terms: -33 + 6x = 5 + 2(-15 + 7x) -33 + 6x = 5 + (-15 * 2 + 7x * 2) -33 + 6x = 5 + (-30 + 14x) Combine like terms: 5 + -30 = -25 -33 + 6x = -25 + 14x Solving -33 + 6x = -25 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + 6x + -14x = -25 + 14x + -14x Combine like terms: 6x + -14x = -8x -33 + -8x = -25 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -8x = -25 + 0 -33 + -8x = -25 Add '33' to each side of the equation. -33 + 33 + -8x = -25 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = -25 + 33 -8x = -25 + 33 Combine like terms: -25 + 33 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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