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Simplifying 8x + -3(4x + 10) + 14 = 3x + 5(-2x + -4) + -17 Reorder the terms: 8x + -3(10 + 4x) + 14 = 3x + 5(-2x + -4) + -17 8x + (10 * -3 + 4x * -3) + 14 = 3x + 5(-2x + -4) + -17 8x + (-30 + -12x) + 14 = 3x + 5(-2x + -4) + -17 Reorder the terms: -30 + 14 + 8x + -12x = 3x + 5(-2x + -4) + -17 Combine like terms: -30 + 14 = -16 -16 + 8x + -12x = 3x + 5(-2x + -4) + -17 Combine like terms: 8x + -12x = -4x -16 + -4x = 3x + 5(-2x + -4) + -17 Reorder the terms: -16 + -4x = 3x + 5(-4 + -2x) + -17 -16 + -4x = 3x + (-4 * 5 + -2x * 5) + -17 -16 + -4x = 3x + (-20 + -10x) + -17 Reorder the terms: -16 + -4x = -20 + -17 + 3x + -10x Combine like terms: -20 + -17 = -37 -16 + -4x = -37 + 3x + -10x Combine like terms: 3x + -10x = -7x -16 + -4x = -37 + -7x Solving -16 + -4x = -37 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -4x + 7x = -37 + -7x + 7x Combine like terms: -4x + 7x = 3x -16 + 3x = -37 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 3x = -37 + 0 -16 + 3x = -37 Add '16' to each side of the equation. -16 + 16 + 3x = -37 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -37 + 16 3x = -37 + 16 Combine like terms: -37 + 16 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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