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Simplifying 2[x + -4(2x + 4) + 3] = 2(x + 1) Reorder the terms: 2[x + -4(4 + 2x) + 3] = 2(x + 1) 2[x + (4 * -4 + 2x * -4) + 3] = 2(x + 1) 2[x + (-16 + -8x) + 3] = 2(x + 1) Reorder the terms: 2[-16 + 3 + x + -8x] = 2(x + 1) Combine like terms: -16 + 3 = -13 2[-13 + x + -8x] = 2(x + 1) Combine like terms: x + -8x = -7x 2[-13 + -7x] = 2(x + 1) [-13 * 2 + -7x * 2] = 2(x + 1) [-26 + -14x] = 2(x + 1) Reorder the terms: -26 + -14x = 2(1 + x) -26 + -14x = (1 * 2 + x * 2) -26 + -14x = (2 + 2x) Solving -26 + -14x = 2 + 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. -26 + -14x + -2x = 2 + 2x + -2x Combine like terms: -14x + -2x = -16x -26 + -16x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + -16x = 2 + 0 -26 + -16x = 2 Add '26' to each side of the equation. -26 + 26 + -16x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + -16x = 2 + 26 -16x = 2 + 26 Combine like terms: 2 + 26 = 28 -16x = 28 Divide each side by '-16'. x = -1.75 Simplifying x = -1.75
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