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Simplifying 6x + -16 = 13x + -47 Reorder the terms: -16 + 6x = 13x + -47 Reorder the terms: -16 + 6x = -47 + 13x Solving -16 + 6x = -47 + 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. -16 + 6x + -13x = -47 + 13x + -13x Combine like terms: 6x + -13x = -7x -16 + -7x = -47 + 13x + -13x Combine like terms: 13x + -13x = 0 -16 + -7x = -47 + 0 -16 + -7x = -47 Add '16' to each side of the equation. -16 + 16 + -7x = -47 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = -47 + 16 -7x = -47 + 16 Combine like terms: -47 + 16 = -31 -7x = -31 Divide each side by '-7'. x = 4.428571429 Simplifying x = 4.428571429
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