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Simplifying 19(-15x + 9) = -18(x + 3) Reorder the terms: 19(9 + -15x) = -18(x + 3) (9 * 19 + -15x * 19) = -18(x + 3) (171 + -285x) = -18(x + 3) Reorder the terms: 171 + -285x = -18(3 + x) 171 + -285x = (3 * -18 + x * -18) 171 + -285x = (-54 + -18x) Solving 171 + -285x = -54 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 171 + -285x + 18x = -54 + -18x + 18x Combine like terms: -285x + 18x = -267x 171 + -267x = -54 + -18x + 18x Combine like terms: -18x + 18x = 0 171 + -267x = -54 + 0 171 + -267x = -54 Add '-171' to each side of the equation. 171 + -171 + -267x = -54 + -171 Combine like terms: 171 + -171 = 0 0 + -267x = -54 + -171 -267x = -54 + -171 Combine like terms: -54 + -171 = -225 -267x = -225 Divide each side by '-267'. x = 0.8426966292 Simplifying x = 0.8426966292
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