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Simplifying 5(x + 7) + -3x = 2(3x + -11) Reorder the terms: 5(7 + x) + -3x = 2(3x + -11) (7 * 5 + x * 5) + -3x = 2(3x + -11) (35 + 5x) + -3x = 2(3x + -11) Combine like terms: 5x + -3x = 2x 35 + 2x = 2(3x + -11) Reorder the terms: 35 + 2x = 2(-11 + 3x) 35 + 2x = (-11 * 2 + 3x * 2) 35 + 2x = (-22 + 6x) Solving 35 + 2x = -22 + 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. 35 + 2x + -6x = -22 + 6x + -6x Combine like terms: 2x + -6x = -4x 35 + -4x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -4x = -22 + 0 35 + -4x = -22 Add '-35' to each side of the equation. 35 + -35 + -4x = -22 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = -22 + -35 -4x = -22 + -35 Combine like terms: -22 + -35 = -57 -4x = -57 Divide each side by '-4'. x = 14.25 Simplifying x = 14.25
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