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Simplifying 13(4x + -10) = 5x + -3 Reorder the terms: 13(-10 + 4x) = 5x + -3 (-10 * 13 + 4x * 13) = 5x + -3 (-130 + 52x) = 5x + -3 Reorder the terms: -130 + 52x = -3 + 5x Solving -130 + 52x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -130 + 52x + -5x = -3 + 5x + -5x Combine like terms: 52x + -5x = 47x -130 + 47x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -130 + 47x = -3 + 0 -130 + 47x = -3 Add '130' to each side of the equation. -130 + 130 + 47x = -3 + 130 Combine like terms: -130 + 130 = 0 0 + 47x = -3 + 130 47x = -3 + 130 Combine like terms: -3 + 130 = 127 47x = 127 Divide each side by '47'. x = 2.70212766 Simplifying x = 2.70212766
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