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Simplifying -3x + 2 + 6(x + 1) = 7x + -4 Reorder the terms: -3x + 2 + 6(1 + x) = 7x + -4 -3x + 2 + (1 * 6 + x * 6) = 7x + -4 -3x + 2 + (6 + 6x) = 7x + -4 Reorder the terms: 2 + 6 + -3x + 6x = 7x + -4 Combine like terms: 2 + 6 = 8 8 + -3x + 6x = 7x + -4 Combine like terms: -3x + 6x = 3x 8 + 3x = 7x + -4 Reorder the terms: 8 + 3x = -4 + 7x Solving 8 + 3x = -4 + 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. 8 + 3x + -7x = -4 + 7x + -7x Combine like terms: 3x + -7x = -4x 8 + -4x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -4x = -4 + 0 8 + -4x = -4 Add '-8' to each side of the equation. 8 + -8 + -4x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -4 + -8 -4x = -4 + -8 Combine like terms: -4 + -8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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