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Simplifying -2(6x + 5) + -2x + 19 = 16(19x + -3) + 5x + 5 Reorder the terms: -2(5 + 6x) + -2x + 19 = 16(19x + -3) + 5x + 5 (5 * -2 + 6x * -2) + -2x + 19 = 16(19x + -3) + 5x + 5 (-10 + -12x) + -2x + 19 = 16(19x + -3) + 5x + 5 Reorder the terms: -10 + 19 + -12x + -2x = 16(19x + -3) + 5x + 5 Combine like terms: -10 + 19 = 9 9 + -12x + -2x = 16(19x + -3) + 5x + 5 Combine like terms: -12x + -2x = -14x 9 + -14x = 16(19x + -3) + 5x + 5 Reorder the terms: 9 + -14x = 16(-3 + 19x) + 5x + 5 9 + -14x = (-3 * 16 + 19x * 16) + 5x + 5 9 + -14x = (-48 + 304x) + 5x + 5 Reorder the terms: 9 + -14x = -48 + 5 + 304x + 5x Combine like terms: -48 + 5 = -43 9 + -14x = -43 + 304x + 5x Combine like terms: 304x + 5x = 309x 9 + -14x = -43 + 309x Solving 9 + -14x = -43 + 309x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-309x' to each side of the equation. 9 + -14x + -309x = -43 + 309x + -309x Combine like terms: -14x + -309x = -323x 9 + -323x = -43 + 309x + -309x Combine like terms: 309x + -309x = 0 9 + -323x = -43 + 0 9 + -323x = -43 Add '-9' to each side of the equation. 9 + -9 + -323x = -43 + -9 Combine like terms: 9 + -9 = 0 0 + -323x = -43 + -9 -323x = -43 + -9 Combine like terms: -43 + -9 = -52 -323x = -52 Divide each side by '-323'. x = 0.1609907121 Simplifying x = 0.1609907121
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