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Simplifying 0.4 + 4(-3.83 + -1) = 3.1 + -1(-3.83 + -7x) + 1 Combine like terms: -3.83 + -1 = -4.83 0.4 + 4(-4.83) = 3.1 + -1(-3.83 + -7x) + 1 Multiply 4 * -4.83 0.4 + -19.32 = 3.1 + -1(-3.83 + -7x) + 1 Combine like terms: 0.4 + -19.32 = -18.92 -18.92 = 3.1 + -1(-3.83 + -7x) + 1 -18.92 = 3.1 + (-3.83 * -1 + -7x * -1) + 1 -18.92 = 3.1 + (3.83 + 7x) + 1 Reorder the terms: -18.92 = 3.1 + 3.83 + 1 + 7x Combine like terms: 3.1 + 3.83 = 6.93 -18.92 = 6.93 + 1 + 7x Combine like terms: 6.93 + 1 = 7.93 -18.92 = 7.93 + 7x Solving -18.92 = 7.93 + 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. -18.92 + -7x = 7.93 + 7x + -7x Combine like terms: 7x + -7x = 0 -18.92 + -7x = 7.93 + 0 -18.92 + -7x = 7.93 Add '18.92' to each side of the equation. -18.92 + 18.92 + -7x = 7.93 + 18.92 Combine like terms: -18.92 + 18.92 = 0.00 0.00 + -7x = 7.93 + 18.92 -7x = 7.93 + 18.92 Combine like terms: 7.93 + 18.92 = 26.85 -7x = 26.85 Divide each side by '-7'. x = -3.835714286 Simplifying x = -3.835714286
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