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Simplifying (x + -3)(5) = (x + 2)(4) Reorder the terms: (-3 + x)(5) = (x + 2)(4) Reorder the terms for easier multiplication: 5(-3 + x) = (x + 2)(4) (-3 * 5 + x * 5) = (x + 2)(4) (-15 + 5x) = (x + 2)(4) Reorder the terms: -15 + 5x = (2 + x)(4) Reorder the terms for easier multiplication: -15 + 5x = 4(2 + x) -15 + 5x = (2 * 4 + x * 4) -15 + 5x = (8 + 4x) Solving -15 + 5x = 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. -15 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = 8 + 0 -15 + 1x = 8 Add '15' to each side of the equation. -15 + 15 + 1x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 8 + 15 1x = 8 + 15 Combine like terms: 8 + 15 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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