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Simplifying 2[x + -1(4x + 16) + 6] = 2(x + 10) Reorder the terms: 2[x + -1(16 + 4x) + 6] = 2(x + 10) 2[x + (16 * -1 + 4x * -1) + 6] = 2(x + 10) 2[x + (-16 + -4x) + 6] = 2(x + 10) Reorder the terms: 2[-16 + 6 + x + -4x] = 2(x + 10) Combine like terms: -16 + 6 = -10 2[-10 + x + -4x] = 2(x + 10) Combine like terms: x + -4x = -3x 2[-10 + -3x] = 2(x + 10) [-10 * 2 + -3x * 2] = 2(x + 10) [-20 + -6x] = 2(x + 10) Reorder the terms: -20 + -6x = 2(10 + x) -20 + -6x = (10 * 2 + x * 2) -20 + -6x = (20 + 2x) Solving -20 + -6x = 20 + 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. -20 + -6x + -2x = 20 + 2x + -2x Combine like terms: -6x + -2x = -8x -20 + -8x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -8x = 20 + 0 -20 + -8x = 20 Add '20' to each side of the equation. -20 + 20 + -8x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 20 + 20 -8x = 20 + 20 Combine like terms: 20 + 20 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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