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Simplifying 7x + -3x + 7 = 3(x + 1) + -9 Reorder the terms: 7 + 7x + -3x = 3(x + 1) + -9 Combine like terms: 7x + -3x = 4x 7 + 4x = 3(x + 1) + -9 Reorder the terms: 7 + 4x = 3(1 + x) + -9 7 + 4x = (1 * 3 + x * 3) + -9 7 + 4x = (3 + 3x) + -9 Reorder the terms: 7 + 4x = 3 + -9 + 3x Combine like terms: 3 + -9 = -6 7 + 4x = -6 + 3x Solving 7 + 4x = -6 + 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 = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = -6 + 0 7 + 1x = -6 Add '-7' to each side of the equation. 7 + -7 + 1x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -6 + -7 1x = -6 + -7 Combine like terms: -6 + -7 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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