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Simplifying 3x + 4(1 + x) * 0 + 2 = 5x + -1x + -6 Reorder the terms for easier multiplication: 3x + 4 * 0(1 + x) + 2 = 5x + -1x + -6 Multiply 4 * 0 3x + 0(1 + x) + 2 = 5x + -1x + -6 Anything times zero is zero. 3x + 0(1 + x) + 2 = 5x + -1x + -6 Reorder the terms: 0 + 2 + 3x = 5x + -1x + -6 Combine like terms: 0 + 2 = 2 2 + 3x = 5x + -1x + -6 Reorder the terms: 2 + 3x = -6 + 5x + -1x Combine like terms: 5x + -1x = 4x 2 + 3x = -6 + 4x Solving 2 + 3x = -6 + 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. 2 + 3x + -4x = -6 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -6 + 0 2 + -1x = -6 Add '-2' to each side of the equation. 2 + -2 + -1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -6 + -2 -1x = -6 + -2 Combine like terms: -6 + -2 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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