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Simplifying 7 + -2(4x + 1) = 3x + -2(2x + 8) Reorder the terms: 7 + -2(1 + 4x) = 3x + -2(2x + 8) 7 + (1 * -2 + 4x * -2) = 3x + -2(2x + 8) 7 + (-2 + -8x) = 3x + -2(2x + 8) Combine like terms: 7 + -2 = 5 5 + -8x = 3x + -2(2x + 8) Reorder the terms: 5 + -8x = 3x + -2(8 + 2x) 5 + -8x = 3x + (8 * -2 + 2x * -2) 5 + -8x = 3x + (-16 + -4x) Reorder the terms: 5 + -8x = -16 + 3x + -4x Combine like terms: 3x + -4x = -1x 5 + -8x = -16 + -1x Solving 5 + -8x = -16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -8x + x = -16 + -1x + x Combine like terms: -8x + x = -7x 5 + -7x = -16 + -1x + x Combine like terms: -1x + x = 0 5 + -7x = -16 + 0 5 + -7x = -16 Add '-5' to each side of the equation. 5 + -5 + -7x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -16 + -5 -7x = -16 + -5 Combine like terms: -16 + -5 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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