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Simplifying 2(2x + -9) + -3 = 2(x + -4) + -1 Reorder the terms: 2(-9 + 2x) + -3 = 2(x + -4) + -1 (-9 * 2 + 2x * 2) + -3 = 2(x + -4) + -1 (-18 + 4x) + -3 = 2(x + -4) + -1 Reorder the terms: -18 + -3 + 4x = 2(x + -4) + -1 Combine like terms: -18 + -3 = -21 -21 + 4x = 2(x + -4) + -1 Reorder the terms: -21 + 4x = 2(-4 + x) + -1 -21 + 4x = (-4 * 2 + x * 2) + -1 -21 + 4x = (-8 + 2x) + -1 Reorder the terms: -21 + 4x = -8 + -1 + 2x Combine like terms: -8 + -1 = -9 -21 + 4x = -9 + 2x Solving -21 + 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. -21 + 4x + -2x = -9 + 2x + -2x Combine like terms: 4x + -2x = 2x -21 + 2x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 2x = -9 + 0 -21 + 2x = -9 Add '21' to each side of the equation. -21 + 21 + 2x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -9 + 21 2x = -9 + 21 Combine like terms: -9 + 21 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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