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Simplifying 4x + -3 + 4x + -3 + x + 4 + x + 4 = x + 7 + 4x + 2 + 4x + 10 Reorder the terms: -3 + -3 + 4 + 4 + 4x + 4x + x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: -3 + -3 = -6 -6 + 4 + 4 + 4x + 4x + x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: -6 + 4 = -2 -2 + 4 + 4x + 4x + x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: -2 + 4 = 2 2 + 4x + 4x + x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: 4x + 4x = 8x 2 + 8x + x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: 8x + x = 9x 2 + 9x + x = x + 7 + 4x + 2 + 4x + 10 Combine like terms: 9x + x = 10x 2 + 10x = x + 7 + 4x + 2 + 4x + 10 Reorder the terms: 2 + 10x = 7 + 2 + 10 + x + 4x + 4x Combine like terms: 7 + 2 = 9 2 + 10x = 9 + 10 + x + 4x + 4x Combine like terms: 9 + 10 = 19 2 + 10x = 19 + x + 4x + 4x Combine like terms: x + 4x = 5x 2 + 10x = 19 + 5x + 4x Combine like terms: 5x + 4x = 9x 2 + 10x = 19 + 9x Solving 2 + 10x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 10x + -9x = 19 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x = 19 + 0 2 + 1x = 19 Add '-2' to each side of the equation. 2 + -2 + 1x = 19 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 19 + -2 1x = 19 + -2 Combine like terms: 19 + -2 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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