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Simplifying 4x + -13 = 6x + -47 Reorder the terms: -13 + 4x = 6x + -47 Reorder the terms: -13 + 4x = -47 + 6x Solving -13 + 4x = -47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 4x + -6x = -47 + 6x + -6x Combine like terms: 4x + -6x = -2x -13 + -2x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -2x = -47 + 0 -13 + -2x = -47 Add '13' to each side of the equation. -13 + 13 + -2x = -47 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -47 + 13 -2x = -47 + 13 Combine like terms: -47 + 13 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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