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Simplifying 19 + 0.11x = 14 + 0.15x Solving 19 + 0.11x = 14 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 19 + 0.11x + -0.15x = 14 + 0.15x + -0.15x Combine like terms: 0.11x + -0.15x = -0.04x 19 + -0.04x = 14 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 19 + -0.04x = 14 + 0.00 19 + -0.04x = 14 Add '-19' to each side of the equation. 19 + -19 + -0.04x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -0.04x = 14 + -19 -0.04x = 14 + -19 Combine like terms: 14 + -19 = -5 -0.04x = -5 Divide each side by '-0.04'. x = 125 Simplifying x = 125
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