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Simplifying 102 = 2(3x + -4) + 2(2x) Reorder the terms: 102 = 2(-4 + 3x) + 2(2x) 102 = (-4 * 2 + 3x * 2) + 2(2x) 102 = (-8 + 6x) + 2(2x) Remove parenthesis around (2x) 102 = -8 + 6x + 2 * 2x Multiply 2 * 2 102 = -8 + 6x + 4x Combine like terms: 6x + 4x = 10x 102 = -8 + 10x Solving 102 = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 102 + -10x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 102 + -10x = -8 + 0 102 + -10x = -8 Add '-102' to each side of the equation. 102 + -102 + -10x = -8 + -102 Combine like terms: 102 + -102 = 0 0 + -10x = -8 + -102 -10x = -8 + -102 Combine like terms: -8 + -102 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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