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Simplifying -8.4x + 1.6 = 33.4 + -1.4x Reorder the terms: 1.6 + -8.4x = 33.4 + -1.4x Solving 1.6 + -8.4x = 33.4 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 1.6 + -8.4x + 1.4x = 33.4 + -1.4x + 1.4x Combine like terms: -8.4x + 1.4x = -7x 1.6 + -7x = 33.4 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 1.6 + -7x = 33.4 + 0.0 1.6 + -7x = 33.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -7x = 33.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -7x = 33.4 + -1.6 -7x = 33.4 + -1.6 Combine like terms: 33.4 + -1.6 = 31.8 -7x = 31.8 Divide each side by '-7'. x = -4.542857143 Simplifying x = -4.542857143
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