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Simplifying 47 = 7x + 4(4x + -17) Reorder the terms: 47 = 7x + 4(-17 + 4x) 47 = 7x + (-17 * 4 + 4x * 4) 47 = 7x + (-68 + 16x) Reorder the terms: 47 = -68 + 7x + 16x Combine like terms: 7x + 16x = 23x 47 = -68 + 23x Solving 47 = -68 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 47 + -23x = -68 + 23x + -23x Combine like terms: 23x + -23x = 0 47 + -23x = -68 + 0 47 + -23x = -68 Add '-47' to each side of the equation. 47 + -47 + -23x = -68 + -47 Combine like terms: 47 + -47 = 0 0 + -23x = -68 + -47 -23x = -68 + -47 Combine like terms: -68 + -47 = -115 -23x = -115 Divide each side by '-23'. x = 5 Simplifying x = 5
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