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Simplifying 6(x + 3) = 19(4 + -3x) Reorder the terms: 6(3 + x) = 19(4 + -3x) (3 * 6 + x * 6) = 19(4 + -3x) (18 + 6x) = 19(4 + -3x) 18 + 6x = (4 * 19 + -3x * 19) 18 + 6x = (76 + -57x) Solving 18 + 6x = 76 + -57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57x' to each side of the equation. 18 + 6x + 57x = 76 + -57x + 57x Combine like terms: 6x + 57x = 63x 18 + 63x = 76 + -57x + 57x Combine like terms: -57x + 57x = 0 18 + 63x = 76 + 0 18 + 63x = 76 Add '-18' to each side of the equation. 18 + -18 + 63x = 76 + -18 Combine like terms: 18 + -18 = 0 0 + 63x = 76 + -18 63x = 76 + -18 Combine like terms: 76 + -18 = 58 63x = 58 Divide each side by '63'. x = 0.9206349206 Simplifying x = 0.9206349206
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