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Simplifying 10 + -2(2x + -1) = 4(x + -2) Reorder the terms: 10 + -2(-1 + 2x) = 4(x + -2) 10 + (-1 * -2 + 2x * -2) = 4(x + -2) 10 + (2 + -4x) = 4(x + -2) Combine like terms: 10 + 2 = 12 12 + -4x = 4(x + -2) Reorder the terms: 12 + -4x = 4(-2 + x) 12 + -4x = (-2 * 4 + x * 4) 12 + -4x = (-8 + 4x) Solving 12 + -4x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -4x + -4x = -8 + 4x + -4x Combine like terms: -4x + -4x = -8x 12 + -8x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x = -8 + 0 12 + -8x = -8 Add '-12' to each side of the equation. 12 + -12 + -8x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -8 + -12 -8x = -8 + -12 Combine like terms: -8 + -12 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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