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Simplifying 7(1 + -1x) + 4x = 4x (1 * 7 + -1x * 7) + 4x = 4x (7 + -7x) + 4x = 4x Combine like terms: -7x + 4x = -3x 7 + -3x = 4x Solving 7 + -3x = 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. 7 + -3x + -4x = 4x + -4x Combine like terms: -3x + -4x = -7x 7 + -7x = 4x + -4x Combine like terms: 4x + -4x = 0 7 + -7x = 0 Add '-7' to each side of the equation. 7 + -7 + -7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 0 + -7 -7x = 0 + -7 Combine like terms: 0 + -7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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