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Simplifying 5x + -3(x + -11) = 7(2x + -5 + 2) Reorder the terms: 5x + -3(-11 + x) = 7(2x + -5 + 2) 5x + (-11 * -3 + x * -3) = 7(2x + -5 + 2) 5x + (33 + -3x) = 7(2x + -5 + 2) Reorder the terms: 33 + 5x + -3x = 7(2x + -5 + 2) Combine like terms: 5x + -3x = 2x 33 + 2x = 7(2x + -5 + 2) Reorder the terms: 33 + 2x = 7(-5 + 2 + 2x) Combine like terms: -5 + 2 = -3 33 + 2x = 7(-3 + 2x) 33 + 2x = (-3 * 7 + 2x * 7) 33 + 2x = (-21 + 14x) Solving 33 + 2x = -21 + 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 + 2x + -14x = -21 + 14x + -14x Combine like terms: 2x + -14x = -12x 33 + -12x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 33 + -12x = -21 + 0 33 + -12x = -21 Add '-33' to each side of the equation. 33 + -33 + -12x = -21 + -33 Combine like terms: 33 + -33 = 0 0 + -12x = -21 + -33 -12x = -21 + -33 Combine like terms: -21 + -33 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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