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Simplifying 4(x + 2) = 2 + -8x + 3(3x + -2) Reorder the terms: 4(2 + x) = 2 + -8x + 3(3x + -2) (2 * 4 + x * 4) = 2 + -8x + 3(3x + -2) (8 + 4x) = 2 + -8x + 3(3x + -2) Reorder the terms: 8 + 4x = 2 + -8x + 3(-2 + 3x) 8 + 4x = 2 + -8x + (-2 * 3 + 3x * 3) 8 + 4x = 2 + -8x + (-6 + 9x) Reorder the terms: 8 + 4x = 2 + -6 + -8x + 9x Combine like terms: 2 + -6 = -4 8 + 4x = -4 + -8x + 9x Combine like terms: -8x + 9x = 1x 8 + 4x = -4 + 1x Solving 8 + 4x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 4x + -1x = -4 + 1x + -1x Combine like terms: 4x + -1x = 3x 8 + 3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 3x = -4 + 0 8 + 3x = -4 Add '-8' to each side of the equation. 8 + -8 + 3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -4 + -8 3x = -4 + -8 Combine like terms: -4 + -8 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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