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Simplifying 123 + -8(2x + -5) = 15(3x + -5) + 23 Reorder the terms: 123 + -8(-5 + 2x) = 15(3x + -5) + 23 123 + (-5 * -8 + 2x * -8) = 15(3x + -5) + 23 123 + (40 + -16x) = 15(3x + -5) + 23 Combine like terms: 123 + 40 = 163 163 + -16x = 15(3x + -5) + 23 Reorder the terms: 163 + -16x = 15(-5 + 3x) + 23 163 + -16x = (-5 * 15 + 3x * 15) + 23 163 + -16x = (-75 + 45x) + 23 Reorder the terms: 163 + -16x = -75 + 23 + 45x Combine like terms: -75 + 23 = -52 163 + -16x = -52 + 45x Solving 163 + -16x = -52 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 163 + -16x + -45x = -52 + 45x + -45x Combine like terms: -16x + -45x = -61x 163 + -61x = -52 + 45x + -45x Combine like terms: 45x + -45x = 0 163 + -61x = -52 + 0 163 + -61x = -52 Add '-163' to each side of the equation. 163 + -163 + -61x = -52 + -163 Combine like terms: 163 + -163 = 0 0 + -61x = -52 + -163 -61x = -52 + -163 Combine like terms: -52 + -163 = -215 -61x = -215 Divide each side by '-61'. x = 3.524590164 Simplifying x = 3.524590164
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