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Simplifying 8(x + -2) = -7x + 13x + 8 Reorder the terms: 8(-2 + x) = -7x + 13x + 8 (-2 * 8 + x * 8) = -7x + 13x + 8 (-16 + 8x) = -7x + 13x + 8 Reorder the terms: -16 + 8x = 8 + -7x + 13x Combine like terms: -7x + 13x = 6x -16 + 8x = 8 + 6x Solving -16 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = 8 + 0 -16 + 2x = 8 Add '16' to each side of the equation. -16 + 16 + 2x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 8 + 16 2x = 8 + 16 Combine like terms: 8 + 16 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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