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Simplifying 2x + 19 = 10x + -45 Reorder the terms: 19 + 2x = 10x + -45 Reorder the terms: 19 + 2x = -45 + 10x Solving 19 + 2x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 19 + 2x + -10x = -45 + 10x + -10x Combine like terms: 2x + -10x = -8x 19 + -8x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + -8x = -45 + 0 19 + -8x = -45 Add '-19' to each side of the equation. 19 + -19 + -8x = -45 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = -45 + -19 -8x = -45 + -19 Combine like terms: -45 + -19 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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