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Simplifying 5(-3x + -2) = -4(4x + 5) + 15 Reorder the terms: 5(-2 + -3x) = -4(4x + 5) + 15 (-2 * 5 + -3x * 5) = -4(4x + 5) + 15 (-10 + -15x) = -4(4x + 5) + 15 Reorder the terms: -10 + -15x = -4(5 + 4x) + 15 -10 + -15x = (5 * -4 + 4x * -4) + 15 -10 + -15x = (-20 + -16x) + 15 Reorder the terms: -10 + -15x = -20 + 15 + -16x Combine like terms: -20 + 15 = -5 -10 + -15x = -5 + -16x Solving -10 + -15x = -5 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -10 + -15x + 16x = -5 + -16x + 16x Combine like terms: -15x + 16x = 1x -10 + 1x = -5 + -16x + 16x Combine like terms: -16x + 16x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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