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Simplifying 4x + 5 = 7x + -15 Reorder the terms: 5 + 4x = 7x + -15 Reorder the terms: 5 + 4x = -15 + 7x Solving 5 + 4x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 4x + -7x = -15 + 7x + -7x Combine like terms: 4x + -7x = -3x 5 + -3x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -3x = -15 + 0 5 + -3x = -15 Add '-5' to each side of the equation. 5 + -5 + -3x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -15 + -5 -3x = -15 + -5 Combine like terms: -15 + -5 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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