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Simplifying 4x + -7 = 10x + 40 Reorder the terms: -7 + 4x = 10x + 40 Reorder the terms: -7 + 4x = 40 + 10x Solving -7 + 4x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 4x + -10x = 40 + 10x + -10x Combine like terms: 4x + -10x = -6x -7 + -6x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -6x = 40 + 0 -7 + -6x = 40 Add '7' to each side of the equation. -7 + 7 + -6x = 40 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 40 + 7 -6x = 40 + 7 Combine like terms: 40 + 7 = 47 -6x = 47 Divide each side by '-6'. x = -7.833333333 Simplifying x = -7.833333333
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