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Simplifying x + 4x + 3(x + 1) = 7x + -6 Reorder the terms: x + 4x + 3(1 + x) = 7x + -6 x + 4x + (1 * 3 + x * 3) = 7x + -6 x + 4x + (3 + 3x) = 7x + -6 Reorder the terms: 3 + x + 4x + 3x = 7x + -6 Combine like terms: x + 4x = 5x 3 + 5x + 3x = 7x + -6 Combine like terms: 5x + 3x = 8x 3 + 8x = 7x + -6 Reorder the terms: 3 + 8x = -6 + 7x Solving 3 + 8x = -6 + 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. 3 + 8x + -7x = -6 + 7x + -7x Combine like terms: 8x + -7x = 1x 3 + 1x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 1x = -6 + 0 3 + 1x = -6 Add '-3' to each side of the equation. 3 + -3 + 1x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -6 + -3 1x = -6 + -3 Combine like terms: -6 + -3 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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