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Simplifying 8(4x + -10) = 3(15x) + -12 Reorder the terms: 8(-10 + 4x) = 3(15x) + -12 (-10 * 8 + 4x * 8) = 3(15x) + -12 (-80 + 32x) = 3(15x) + -12 Remove parenthesis around (15x) -80 + 32x = 3 * 15x + -12 Multiply 3 * 15 -80 + 32x = 45x + -12 Reorder the terms: -80 + 32x = -12 + 45x Solving -80 + 32x = -12 + 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. -80 + 32x + -45x = -12 + 45x + -45x Combine like terms: 32x + -45x = -13x -80 + -13x = -12 + 45x + -45x Combine like terms: 45x + -45x = 0 -80 + -13x = -12 + 0 -80 + -13x = -12 Add '80' to each side of the equation. -80 + 80 + -13x = -12 + 80 Combine like terms: -80 + 80 = 0 0 + -13x = -12 + 80 -13x = -12 + 80 Combine like terms: -12 + 80 = 68 -13x = 68 Divide each side by '-13'. x = -5.230769231 Simplifying x = -5.230769231
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