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Simplifying 5.2x + -4 = 7x + 1 + -3 Reorder the terms: -4 + 5.2x = 7x + 1 + -3 Reorder the terms: -4 + 5.2x = 1 + -3 + 7x Combine like terms: 1 + -3 = -2 -4 + 5.2x = -2 + 7x Solving -4 + 5.2x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5.2x + -7x = -2 + 7x + -7x Combine like terms: 5.2x + -7x = -1.8x -4 + -1.8x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1.8x = -2 + 0 -4 + -1.8x = -2 Add '4' to each side of the equation. -4 + 4 + -1.8x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1.8x = -2 + 4 -1.8x = -2 + 4 Combine like terms: -2 + 4 = 2 -1.8x = 2 Divide each side by '-1.8'. x = -1.111111111 Simplifying x = -1.111111111
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