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Simplifying 2[4 + -1x] + -3[x + -7] + -8 = 16x [4 * 2 + -1x * 2] + -3[x + -7] + -8 = 16x [8 + -2x] + -3[x + -7] + -8 = 16x Reorder the terms: 8 + -2x + -3[-7 + x] + -8 = 16x 8 + -2x + [-7 * -3 + x * -3] + -8 = 16x 8 + -2x + [21 + -3x] + -8 = 16x Reorder the terms: 8 + 21 + -8 + -2x + -3x = 16x Combine like terms: 8 + 21 = 29 29 + -8 + -2x + -3x = 16x Combine like terms: 29 + -8 = 21 21 + -2x + -3x = 16x Combine like terms: -2x + -3x = -5x 21 + -5x = 16x Solving 21 + -5x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 21 + -5x + -16x = 16x + -16x Combine like terms: -5x + -16x = -21x 21 + -21x = 16x + -16x Combine like terms: 16x + -16x = 0 21 + -21x = 0 Add '-21' to each side of the equation. 21 + -21 + -21x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -21x = 0 + -21 -21x = 0 + -21 Combine like terms: 0 + -21 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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