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Simplifying -2x + 7 = x + 3(x + 1) Reorder the terms: 7 + -2x = x + 3(x + 1) Reorder the terms: 7 + -2x = x + 3(1 + x) 7 + -2x = x + (1 * 3 + x * 3) 7 + -2x = x + (3 + 3x) Reorder the terms: 7 + -2x = 3 + x + 3x Combine like terms: x + 3x = 4x 7 + -2x = 3 + 4x Solving 7 + -2x = 3 + 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 + -2x + -4x = 3 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = 3 + 0 7 + -6x = 3 Add '-7' to each side of the equation. 7 + -7 + -6x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 3 + -7 -6x = 3 + -7 Combine like terms: 3 + -7 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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