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Simplifying 4.15x + -13.01 = 10.9x + 1.29 Reorder the terms: -13.01 + 4.15x = 10.9x + 1.29 Reorder the terms: -13.01 + 4.15x = 1.29 + 10.9x Solving -13.01 + 4.15x = 1.29 + 10.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.9x' to each side of the equation. -13.01 + 4.15x + -10.9x = 1.29 + 10.9x + -10.9x Combine like terms: 4.15x + -10.9x = -6.75x -13.01 + -6.75x = 1.29 + 10.9x + -10.9x Combine like terms: 10.9x + -10.9x = 0.0 -13.01 + -6.75x = 1.29 + 0.0 -13.01 + -6.75x = 1.29 Add '13.01' to each side of the equation. -13.01 + 13.01 + -6.75x = 1.29 + 13.01 Combine like terms: -13.01 + 13.01 = 0.00 0.00 + -6.75x = 1.29 + 13.01 -6.75x = 1.29 + 13.01 Combine like terms: 1.29 + 13.01 = 14.3 -6.75x = 14.3 Divide each side by '-6.75'. x = -2.118518519 Simplifying x = -2.118518519
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