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Simplifying 5(x + -3) = 4x + -7 Reorder the terms: 5(-3 + x) = 4x + -7 (-3 * 5 + x * 5) = 4x + -7 (-15 + 5x) = 4x + -7 Reorder the terms: -15 + 5x = -7 + 4x Solving -15 + 5x = -7 + 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. -15 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = -7 + 0 -15 + 1x = -7 Add '15' to each side of the equation. -15 + 15 + 1x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -7 + 15 1x = -7 + 15 Combine like terms: -7 + 15 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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