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Simplifying 3x + 2 + 5x + -3 = 10x + -19 Reorder the terms: 2 + -3 + 3x + 5x = 10x + -19 Combine like terms: 2 + -3 = -1 -1 + 3x + 5x = 10x + -19 Combine like terms: 3x + 5x = 8x -1 + 8x = 10x + -19 Reorder the terms: -1 + 8x = -19 + 10x Solving -1 + 8x = -19 + 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. -1 + 8x + -10x = -19 + 10x + -10x Combine like terms: 8x + -10x = -2x -1 + -2x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -2x = -19 + 0 -1 + -2x = -19 Add '1' to each side of the equation. -1 + 1 + -2x = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -19 + 1 -2x = -19 + 1 Combine like terms: -19 + 1 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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