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Simplifying 4(7 + 12x) + 42 = 13(7 + -2x) (7 * 4 + 12x * 4) + 42 = 13(7 + -2x) (28 + 48x) + 42 = 13(7 + -2x) Reorder the terms: 28 + 42 + 48x = 13(7 + -2x) Combine like terms: 28 + 42 = 70 70 + 48x = 13(7 + -2x) 70 + 48x = (7 * 13 + -2x * 13) 70 + 48x = (91 + -26x) Solving 70 + 48x = 91 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 70 + 48x + 26x = 91 + -26x + 26x Combine like terms: 48x + 26x = 74x 70 + 74x = 91 + -26x + 26x Combine like terms: -26x + 26x = 0 70 + 74x = 91 + 0 70 + 74x = 91 Add '-70' to each side of the equation. 70 + -70 + 74x = 91 + -70 Combine like terms: 70 + -70 = 0 0 + 74x = 91 + -70 74x = 91 + -70 Combine like terms: 91 + -70 = 21 74x = 21 Divide each side by '74'. x = 0.2837837838 Simplifying x = 0.2837837838
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