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Simplifying 5 + 3[x + -7] = 4[2x + -1] + 8 Reorder the terms: 5 + 3[-7 + x] = 4[2x + -1] + 8 5 + [-7 * 3 + x * 3] = 4[2x + -1] + 8 5 + [-21 + 3x] = 4[2x + -1] + 8 Combine like terms: 5 + -21 = -16 -16 + 3x = 4[2x + -1] + 8 Reorder the terms: -16 + 3x = 4[-1 + 2x] + 8 -16 + 3x = [-1 * 4 + 2x * 4] + 8 -16 + 3x = [-4 + 8x] + 8 Reorder the terms: -16 + 3x = -4 + 8 + 8x Combine like terms: -4 + 8 = 4 -16 + 3x = 4 + 8x Solving -16 + 3x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x -16 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -5x = 4 + 0 -16 + -5x = 4 Add '16' to each side of the equation. -16 + 16 + -5x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 4 + 16 -5x = 4 + 16 Combine like terms: 4 + 16 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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