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Simplifying 15 + 26x = 4(8x + -2) + 19 Reorder the terms: 15 + 26x = 4(-2 + 8x) + 19 15 + 26x = (-2 * 4 + 8x * 4) + 19 15 + 26x = (-8 + 32x) + 19 Reorder the terms: 15 + 26x = -8 + 19 + 32x Combine like terms: -8 + 19 = 11 15 + 26x = 11 + 32x Solving 15 + 26x = 11 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 15 + 26x + -32x = 11 + 32x + -32x Combine like terms: 26x + -32x = -6x 15 + -6x = 11 + 32x + -32x Combine like terms: 32x + -32x = 0 15 + -6x = 11 + 0 15 + -6x = 11 Add '-15' to each side of the equation. 15 + -15 + -6x = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 11 + -15 -6x = 11 + -15 Combine like terms: 11 + -15 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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