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Simplifying 4x + 7 = 6 + -3(x + 1) Reorder the terms: 7 + 4x = 6 + -3(x + 1) Reorder the terms: 7 + 4x = 6 + -3(1 + x) 7 + 4x = 6 + (1 * -3 + x * -3) 7 + 4x = 6 + (-3 + -3x) Combine like terms: 6 + -3 = 3 7 + 4x = 3 + -3x Solving 7 + 4x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 4x + 3x = 3 + -3x + 3x Combine like terms: 4x + 3x = 7x 7 + 7x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 7x = 3 + 0 7 + 7x = 3 Add '-7' to each side of the equation. 7 + -7 + 7x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 3 + -7 7x = 3 + -7 Combine like terms: 3 + -7 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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