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Simplifying 2x + -5 = 3(4x + -15) + 8y Reorder the terms: -5 + 2x = 3(4x + -15) + 8y Reorder the terms: -5 + 2x = 3(-15 + 4x) + 8y -5 + 2x = (-15 * 3 + 4x * 3) + 8y -5 + 2x = (-45 + 12x) + 8y Solving -5 + 2x = -45 + 12x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 2x + -12x = -45 + 12x + -12x + 8y Combine like terms: 2x + -12x = -10x -5 + -10x = -45 + 12x + -12x + 8y Combine like terms: 12x + -12x = 0 -5 + -10x = -45 + 0 + 8y -5 + -10x = -45 + 8y Add '5' to each side of the equation. -5 + 5 + -10x = -45 + 5 + 8y Combine like terms: -5 + 5 = 0 0 + -10x = -45 + 5 + 8y -10x = -45 + 5 + 8y Combine like terms: -45 + 5 = -40 -10x = -40 + 8y Divide each side by '-10'. x = 4 + -0.8y Simplifying x = 4 + -0.8y
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