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Simplifying 5(2X + -3) + -8X = 14X + -3(4 * 5) Reorder the terms: 5(-3 + 2X) + -8X = 14X + -3(4 * 5) (-3 * 5 + 2X * 5) + -8X = 14X + -3(4 * 5) (-15 + 10X) + -8X = 14X + -3(4 * 5) Combine like terms: 10X + -8X = 2X -15 + 2X = 14X + -3(4 * 5) Multiply 4 * 5 -15 + 2X = 14X + -3(20) Multiply -3 * 20 -15 + 2X = 14X + -60 Reorder the terms: -15 + 2X = -60 + 14X Solving -15 + 2X = -60 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. -15 + 2X + -14X = -60 + 14X + -14X Combine like terms: 2X + -14X = -12X -15 + -12X = -60 + 14X + -14X Combine like terms: 14X + -14X = 0 -15 + -12X = -60 + 0 -15 + -12X = -60 Add '15' to each side of the equation. -15 + 15 + -12X = -60 + 15 Combine like terms: -15 + 15 = 0 0 + -12X = -60 + 15 -12X = -60 + 15 Combine like terms: -60 + 15 = -45 -12X = -45 Divide each side by '-12'. X = 3.75 Simplifying X = 3.75
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