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Simplifying 4(x + -13) = 3(x + 1) Reorder the terms: 4(-13 + x) = 3(x + 1) (-13 * 4 + x * 4) = 3(x + 1) (-52 + 4x) = 3(x + 1) Reorder the terms: -52 + 4x = 3(1 + x) -52 + 4x = (1 * 3 + x * 3) -52 + 4x = (3 + 3x) Solving -52 + 4x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -52 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x -52 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + 1x = 3 + 0 -52 + 1x = 3 Add '52' to each side of the equation. -52 + 52 + 1x = 3 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = 3 + 52 1x = 3 + 52 Combine like terms: 3 + 52 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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