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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 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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