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Simplifying 5x + -4 = 13x + -42 Reorder the terms: -4 + 5x = 13x + -42 Reorder the terms: -4 + 5x = -42 + 13x Solving -4 + 5x = -42 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + 5x + -13x = -42 + 13x + -13x Combine like terms: 5x + -13x = -8x -4 + -8x = -42 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -8x = -42 + 0 -4 + -8x = -42 Add '4' to each side of the equation. -4 + 4 + -8x = -42 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -42 + 4 -8x = -42 + 4 Combine like terms: -42 + 4 = -38 -8x = -38 Divide each side by '-8'. x = 4.75 Simplifying x = 4.75
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