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Simplifying 5x + -2(3x + 8) = -2(x + -7) Reorder the terms: 5x + -2(8 + 3x) = -2(x + -7) 5x + (8 * -2 + 3x * -2) = -2(x + -7) 5x + (-16 + -6x) = -2(x + -7) Reorder the terms: -16 + 5x + -6x = -2(x + -7) Combine like terms: 5x + -6x = -1x -16 + -1x = -2(x + -7) Reorder the terms: -16 + -1x = -2(-7 + x) -16 + -1x = (-7 * -2 + x * -2) -16 + -1x = (14 + -2x) Solving -16 + -1x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + -1x + 2x = 14 + -2x + 2x Combine like terms: -1x + 2x = 1x -16 + 1x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 1x = 14 + 0 -16 + 1x = 14 Add '16' to each side of the equation. -16 + 16 + 1x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 14 + 16 1x = 14 + 16 Combine like terms: 14 + 16 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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