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Simplifying 5.6(3.4x + -2) + 5.2 = x + 1 Reorder the terms: 5.6(-2 + 3.4x) + 5.2 = x + 1 (-2 * 5.6 + 3.4x * 5.6) + 5.2 = x + 1 (-11.2 + 19.04x) + 5.2 = x + 1 Reorder the terms: -11.2 + 5.2 + 19.04x = x + 1 Combine like terms: -11.2 + 5.2 = -6 -6 + 19.04x = x + 1 Reorder the terms: -6 + 19.04x = 1 + x Solving -6 + 19.04x = 1 + 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. -6 + 19.04x + -1x = 1 + x + -1x Combine like terms: 19.04x + -1x = 18.04x -6 + 18.04x = 1 + x + -1x Combine like terms: x + -1x = 0 -6 + 18.04x = 1 + 0 -6 + 18.04x = 1 Add '6' to each side of the equation. -6 + 6 + 18.04x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 18.04x = 1 + 6 18.04x = 1 + 6 Combine like terms: 1 + 6 = 7 18.04x = 7 Divide each side by '18.04'. x = 0.3880266075 Simplifying x = 0.3880266075
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