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Simplifying 5.4x = 6(x + -7) Reorder the terms: 5.4x = 6(-7 + x) 5.4x = (-7 * 6 + x * 6) 5.4x = (-42 + 6x) Solving 5.4x = -42 + 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. 5.4x + -6x = -42 + 6x + -6x Combine like terms: 5.4x + -6x = -0.6x -0.6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -0.6x = -42 + 0 -0.6x = -42 Divide each side by '-0.6'. x = 70 Simplifying x = 70
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