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Simplifying -5x + 29 + -3x + -45 = -66 + 2x Reorder the terms: 29 + -45 + -5x + -3x = -66 + 2x Combine like terms: 29 + -45 = -16 -16 + -5x + -3x = -66 + 2x Combine like terms: -5x + -3x = -8x -16 + -8x = -66 + 2x Solving -16 + -8x = -66 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -8x + -2x = -66 + 2x + -2x Combine like terms: -8x + -2x = -10x -16 + -10x = -66 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -10x = -66 + 0 -16 + -10x = -66 Add '16' to each side of the equation. -16 + 16 + -10x = -66 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = -66 + 16 -10x = -66 + 16 Combine like terms: -66 + 16 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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