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Simplifying 36x + -47 = 6(5x + -7) + -6x + -5 Reorder the terms: -47 + 36x = 6(5x + -7) + -6x + -5 Reorder the terms: -47 + 36x = 6(-7 + 5x) + -6x + -5 -47 + 36x = (-7 * 6 + 5x * 6) + -6x + -5 -47 + 36x = (-42 + 30x) + -6x + -5 Reorder the terms: -47 + 36x = -42 + -5 + 30x + -6x Combine like terms: -42 + -5 = -47 -47 + 36x = -47 + 30x + -6x Combine like terms: 30x + -6x = 24x -47 + 36x = -47 + 24x Add '47' to each side of the equation. -47 + 47 + 36x = -47 + 47 + 24x Combine like terms: -47 + 47 = 0 0 + 36x = -47 + 47 + 24x 36x = -47 + 47 + 24x Combine like terms: -47 + 47 = 0 36x = 0 + 24x 36x = 24x Solving 36x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 36x + -24x = 24x + -24x Combine like terms: 36x + -24x = 12x 12x = 24x + -24x Combine like terms: 24x + -24x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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