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Simplifying 2(2x + -3) + -5 = 2(x + -4) + 1 Reorder the terms: 2(-3 + 2x) + -5 = 2(x + -4) + 1 (-3 * 2 + 2x * 2) + -5 = 2(x + -4) + 1 (-6 + 4x) + -5 = 2(x + -4) + 1 Reorder the terms: -6 + -5 + 4x = 2(x + -4) + 1 Combine like terms: -6 + -5 = -11 -11 + 4x = 2(x + -4) + 1 Reorder the terms: -11 + 4x = 2(-4 + x) + 1 -11 + 4x = (-4 * 2 + x * 2) + 1 -11 + 4x = (-8 + 2x) + 1 Reorder the terms: -11 + 4x = -8 + 1 + 2x Combine like terms: -8 + 1 = -7 -11 + 4x = -7 + 2x Solving -11 + 4x = -7 + 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. -11 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x -11 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 2x = -7 + 0 -11 + 2x = -7 Add '11' to each side of the equation. -11 + 11 + 2x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -7 + 11 2x = -7 + 11 Combine like terms: -7 + 11 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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