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Simplifying 4.6x + -3 = 10x + -47 Reorder the terms: -3 + 4.6x = 10x + -47 Reorder the terms: -3 + 4.6x = -47 + 10x Solving -3 + 4.6x = -47 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 4.6x + -10x = -47 + 10x + -10x Combine like terms: 4.6x + -10x = -5.4x -3 + -5.4x = -47 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -5.4x = -47 + 0 -3 + -5.4x = -47 Add '3' to each side of the equation. -3 + 3 + -5.4x = -47 + 3 Combine like terms: -3 + 3 = 0 0 + -5.4x = -47 + 3 -5.4x = -47 + 3 Combine like terms: -47 + 3 = -44 -5.4x = -44 Divide each side by '-5.4'. x = 8.148148148 Simplifying x = 8.148148148
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