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Simplifying 2(2x + -8) + -3 = 2(x + -2) + 3 Reorder the terms: 2(-8 + 2x) + -3 = 2(x + -2) + 3 (-8 * 2 + 2x * 2) + -3 = 2(x + -2) + 3 (-16 + 4x) + -3 = 2(x + -2) + 3 Reorder the terms: -16 + -3 + 4x = 2(x + -2) + 3 Combine like terms: -16 + -3 = -19 -19 + 4x = 2(x + -2) + 3 Reorder the terms: -19 + 4x = 2(-2 + x) + 3 -19 + 4x = (-2 * 2 + x * 2) + 3 -19 + 4x = (-4 + 2x) + 3 Reorder the terms: -19 + 4x = -4 + 3 + 2x Combine like terms: -4 + 3 = -1 -19 + 4x = -1 + 2x Solving -19 + 4x = -1 + 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. -19 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = -1 + 0 -19 + 2x = -1 Add '19' to each side of the equation. -19 + 19 + 2x = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -1 + 19 2x = -1 + 19 Combine like terms: -1 + 19 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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