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Simplifying 7.4x + 13 + -6x = x + 17 Reorder the terms: 13 + 7.4x + -6x = x + 17 Combine like terms: 7.4x + -6x = 1.4x 13 + 1.4x = x + 17 Reorder the terms: 13 + 1.4x = 17 + x Solving 13 + 1.4x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + 1.4x + -1x = 17 + x + -1x Combine like terms: 1.4x + -1x = 0.4x 13 + 0.4x = 17 + x + -1x Combine like terms: x + -1x = 0 13 + 0.4x = 17 + 0 13 + 0.4x = 17 Add '-13' to each side of the equation. 13 + -13 + 0.4x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 0.4x = 17 + -13 0.4x = 17 + -13 Combine like terms: 17 + -13 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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