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Simplifying 8(x + 3) + 14 = -2x + 6(x + -1) Reorder the terms: 8(3 + x) + 14 = -2x + 6(x + -1) (3 * 8 + x * 8) + 14 = -2x + 6(x + -1) (24 + 8x) + 14 = -2x + 6(x + -1) Reorder the terms: 24 + 14 + 8x = -2x + 6(x + -1) Combine like terms: 24 + 14 = 38 38 + 8x = -2x + 6(x + -1) Reorder the terms: 38 + 8x = -2x + 6(-1 + x) 38 + 8x = -2x + (-1 * 6 + x * 6) 38 + 8x = -2x + (-6 + 6x) Reorder the terms: 38 + 8x = -6 + -2x + 6x Combine like terms: -2x + 6x = 4x 38 + 8x = -6 + 4x Solving 38 + 8x = -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. 38 + 8x + -4x = -6 + 4x + -4x Combine like terms: 8x + -4x = 4x 38 + 4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 38 + 4x = -6 + 0 38 + 4x = -6 Add '-38' to each side of the equation. 38 + -38 + 4x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = -6 + -38 4x = -6 + -38 Combine like terms: -6 + -38 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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