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Simplifying -19(8x + -15) = 7x + 51 Reorder the terms: -19(-15 + 8x) = 7x + 51 (-15 * -19 + 8x * -19) = 7x + 51 (285 + -152x) = 7x + 51 Reorder the terms: 285 + -152x = 51 + 7x Solving 285 + -152x = 51 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 285 + -152x + -7x = 51 + 7x + -7x Combine like terms: -152x + -7x = -159x 285 + -159x = 51 + 7x + -7x Combine like terms: 7x + -7x = 0 285 + -159x = 51 + 0 285 + -159x = 51 Add '-285' to each side of the equation. 285 + -285 + -159x = 51 + -285 Combine like terms: 285 + -285 = 0 0 + -159x = 51 + -285 -159x = 51 + -285 Combine like terms: 51 + -285 = -234 -159x = -234 Divide each side by '-159'. x = 1.471698113 Simplifying x = 1.471698113
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