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Simplifying 2(x + 4) + 6x = 4(x + -3) Reorder the terms: 2(4 + x) + 6x = 4(x + -3) (4 * 2 + x * 2) + 6x = 4(x + -3) (8 + 2x) + 6x = 4(x + -3) Combine like terms: 2x + 6x = 8x 8 + 8x = 4(x + -3) Reorder the terms: 8 + 8x = 4(-3 + x) 8 + 8x = (-3 * 4 + x * 4) 8 + 8x = (-12 + 4x) Solving 8 + 8x = -12 + 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. 8 + 8x + -4x = -12 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = -12 + 0 8 + 4x = -12 Add '-8' to each side of the equation. 8 + -8 + 4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -12 + -8 4x = -12 + -8 Combine like terms: -12 + -8 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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