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Simplifying 1 + -2(2x + 8) = (x + 9) + -3x Reorder the terms: 1 + -2(8 + 2x) = (x + 9) + -3x 1 + (8 * -2 + 2x * -2) = (x + 9) + -3x 1 + (-16 + -4x) = (x + 9) + -3x Combine like terms: 1 + -16 = -15 -15 + -4x = (x + 9) + -3x Reorder the terms: -15 + -4x = (9 + x) + -3x Remove parenthesis around (9 + x) -15 + -4x = 9 + x + -3x Combine like terms: x + -3x = -2x -15 + -4x = 9 + -2x Solving -15 + -4x = 9 + -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. -15 + -4x + 2x = 9 + -2x + 2x Combine like terms: -4x + 2x = -2x -15 + -2x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -2x = 9 + 0 -15 + -2x = 9 Add '15' to each side of the equation. -15 + 15 + -2x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 9 + 15 -2x = 9 + 15 Combine like terms: 9 + 15 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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