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Simplifying 4.6x + 93 = 7.1x + 13 Reorder the terms: 93 + 4.6x = 7.1x + 13 Reorder the terms: 93 + 4.6x = 13 + 7.1x Solving 93 + 4.6x = 13 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. 93 + 4.6x + -7.1x = 13 + 7.1x + -7.1x Combine like terms: 4.6x + -7.1x = -2.5x 93 + -2.5x = 13 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 93 + -2.5x = 13 + 0.0 93 + -2.5x = 13 Add '-93' to each side of the equation. 93 + -93 + -2.5x = 13 + -93 Combine like terms: 93 + -93 = 0 0 + -2.5x = 13 + -93 -2.5x = 13 + -93 Combine like terms: 13 + -93 = -80 -2.5x = -80 Divide each side by '-2.5'. x = 32 Simplifying x = 32
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