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Simplifying 14(x + -3) + 15 = 4x + 23 Reorder the terms: 14(-3 + x) + 15 = 4x + 23 (-3 * 14 + x * 14) + 15 = 4x + 23 (-42 + 14x) + 15 = 4x + 23 Reorder the terms: -42 + 15 + 14x = 4x + 23 Combine like terms: -42 + 15 = -27 -27 + 14x = 4x + 23 Reorder the terms: -27 + 14x = 23 + 4x Solving -27 + 14x = 23 + 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. -27 + 14x + -4x = 23 + 4x + -4x Combine like terms: 14x + -4x = 10x -27 + 10x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 10x = 23 + 0 -27 + 10x = 23 Add '27' to each side of the equation. -27 + 27 + 10x = 23 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 23 + 27 10x = 23 + 27 Combine like terms: 23 + 27 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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