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Simplifying 5(x + -3) + -3(x + -1) = 4x + -8 Reorder the terms: 5(-3 + x) + -3(x + -1) = 4x + -8 (-3 * 5 + x * 5) + -3(x + -1) = 4x + -8 (-15 + 5x) + -3(x + -1) = 4x + -8 Reorder the terms: -15 + 5x + -3(-1 + x) = 4x + -8 -15 + 5x + (-1 * -3 + x * -3) = 4x + -8 -15 + 5x + (3 + -3x) = 4x + -8 Reorder the terms: -15 + 3 + 5x + -3x = 4x + -8 Combine like terms: -15 + 3 = -12 -12 + 5x + -3x = 4x + -8 Combine like terms: 5x + -3x = 2x -12 + 2x = 4x + -8 Reorder the terms: -12 + 2x = -8 + 4x Solving -12 + 2x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x -12 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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