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Simplifying 4(7x) + 6(13) + -2(7x) = 1(17) + -3(3x) Remove parenthesis around (7x) 4 * 7x + 6(13) + -2(7x) = 1(17) + -3(3x) Multiply 4 * 7 28x + 6(13) + -2(7x) = 1(17) + -3(3x) Multiply 6 * 13 28x + 78 + -2(7x) = 1(17) + -3(3x) Remove parenthesis around (7x) 28x + 78 + -2 * 7x = 1(17) + -3(3x) Multiply -2 * 7 28x + 78 + -14x = 1(17) + -3(3x) Reorder the terms: 78 + 28x + -14x = 1(17) + -3(3x) Combine like terms: 28x + -14x = 14x 78 + 14x = 1(17) + -3(3x) Multiply 1 * 17 78 + 14x = 17 + -3(3x) Remove parenthesis around (3x) 78 + 14x = 17 + -3 * 3x Multiply -3 * 3 78 + 14x = 17 + -9x Solving 78 + 14x = 17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 78 + 14x + 9x = 17 + -9x + 9x Combine like terms: 14x + 9x = 23x 78 + 23x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 78 + 23x = 17 + 0 78 + 23x = 17 Add '-78' to each side of the equation. 78 + -78 + 23x = 17 + -78 Combine like terms: 78 + -78 = 0 0 + 23x = 17 + -78 23x = 17 + -78 Combine like terms: 17 + -78 = -61 23x = -61 Divide each side by '23'. x = -2.652173913 Simplifying x = -2.652173913
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