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Simplifying 4x + 20 + -12x + -18 = 13x + 42 + -10 + 2x + 9 Reorder the terms: 20 + -18 + 4x + -12x = 13x + 42 + -10 + 2x + 9 Combine like terms: 20 + -18 = 2 2 + 4x + -12x = 13x + 42 + -10 + 2x + 9 Combine like terms: 4x + -12x = -8x 2 + -8x = 13x + 42 + -10 + 2x + 9 Reorder the terms: 2 + -8x = 42 + -10 + 9 + 13x + 2x Combine like terms: 42 + -10 = 32 2 + -8x = 32 + 9 + 13x + 2x Combine like terms: 32 + 9 = 41 2 + -8x = 41 + 13x + 2x Combine like terms: 13x + 2x = 15x 2 + -8x = 41 + 15x Solving 2 + -8x = 41 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + -8x + -15x = 41 + 15x + -15x Combine like terms: -8x + -15x = -23x 2 + -23x = 41 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -23x = 41 + 0 2 + -23x = 41 Add '-2' to each side of the equation. 2 + -2 + -23x = 41 + -2 Combine like terms: 2 + -2 = 0 0 + -23x = 41 + -2 -23x = 41 + -2 Combine like terms: 41 + -2 = 39 -23x = 39 Divide each side by '-23'. x = -1.695652174 Simplifying x = -1.695652174
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