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Simplifying 3x + 5 + -7x = 2(3x + 11) Reorder the terms: 5 + 3x + -7x = 2(3x + 11) Combine like terms: 3x + -7x = -4x 5 + -4x = 2(3x + 11) Reorder the terms: 5 + -4x = 2(11 + 3x) 5 + -4x = (11 * 2 + 3x * 2) 5 + -4x = (22 + 6x) Solving 5 + -4x = 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. 5 + -4x + -6x = 22 + 6x + -6x Combine like terms: -4x + -6x = -10x 5 + -10x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -10x = 22 + 0 5 + -10x = 22 Add '-5' to each side of the equation. 5 + -5 + -10x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 22 + -5 -10x = 22 + -5 Combine like terms: 22 + -5 = 17 -10x = 17 Divide each side by '-10'. x = -1.7 Simplifying x = -1.7
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