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Simplifying 5(x + -3) = 4(3x + -8) + -4 Reorder the terms: 5(-3 + x) = 4(3x + -8) + -4 (-3 * 5 + x * 5) = 4(3x + -8) + -4 (-15 + 5x) = 4(3x + -8) + -4 Reorder the terms: -15 + 5x = 4(-8 + 3x) + -4 -15 + 5x = (-8 * 4 + 3x * 4) + -4 -15 + 5x = (-32 + 12x) + -4 Reorder the terms: -15 + 5x = -32 + -4 + 12x Combine like terms: -32 + -4 = -36 -15 + 5x = -36 + 12x Solving -15 + 5x = -36 + 12x 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. -15 + 5x + -12x = -36 + 12x + -12x Combine like terms: 5x + -12x = -7x -15 + -7x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -7x = -36 + 0 -15 + -7x = -36 Add '15' to each side of the equation. -15 + 15 + -7x = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -36 + 15 -7x = -36 + 15 Combine like terms: -36 + 15 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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