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Simplifying 4x + 20 + 6x + 9 = 2x + -10 + 7 Reorder the terms: 20 + 9 + 4x + 6x = 2x + -10 + 7 Combine like terms: 20 + 9 = 29 29 + 4x + 6x = 2x + -10 + 7 Combine like terms: 4x + 6x = 10x 29 + 10x = 2x + -10 + 7 Reorder the terms: 29 + 10x = -10 + 7 + 2x Combine like terms: -10 + 7 = -3 29 + 10x = -3 + 2x Solving 29 + 10x = -3 + 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. 29 + 10x + -2x = -3 + 2x + -2x Combine like terms: 10x + -2x = 8x 29 + 8x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 8x = -3 + 0 29 + 8x = -3 Add '-29' to each side of the equation. 29 + -29 + 8x = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = -3 + -29 8x = -3 + -29 Combine like terms: -3 + -29 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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