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Simplifying 10(4 + -1x) = 4x + -7 (4 * 10 + -1x * 10) = 4x + -7 (40 + -10x) = 4x + -7 Reorder the terms: 40 + -10x = -7 + 4x Solving 40 + -10x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + -10x + -4x = -7 + 4x + -4x Combine like terms: -10x + -4x = -14x 40 + -14x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -14x = -7 + 0 40 + -14x = -7 Add '-40' to each side of the equation. 40 + -40 + -14x = -7 + -40 Combine like terms: 40 + -40 = 0 0 + -14x = -7 + -40 -14x = -7 + -40 Combine like terms: -7 + -40 = -47 -14x = -47 Divide each side by '-14'. x = 3.357142857 Simplifying x = 3.357142857
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