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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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