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Simplifying 10 + -4(x + 1) = 2(2x + 4) + 20 Reorder the terms: 10 + -4(1 + x) = 2(2x + 4) + 20 10 + (1 * -4 + x * -4) = 2(2x + 4) + 20 10 + (-4 + -4x) = 2(2x + 4) + 20 Combine like terms: 10 + -4 = 6 6 + -4x = 2(2x + 4) + 20 Reorder the terms: 6 + -4x = 2(4 + 2x) + 20 6 + -4x = (4 * 2 + 2x * 2) + 20 6 + -4x = (8 + 4x) + 20 Reorder the terms: 6 + -4x = 8 + 20 + 4x Combine like terms: 8 + 20 = 28 6 + -4x = 28 + 4x Solving 6 + -4x = 28 + 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. 6 + -4x + -4x = 28 + 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = 28 + 0 6 + -8x = 28 Add '-6' to each side of the equation. 6 + -6 + -8x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 28 + -6 -8x = 28 + -6 Combine like terms: 28 + -6 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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