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Simplifying 6.14x + -2(x + 1.03) = 6.22 + -4(x + -2) Reorder the terms: 6.14x + -2(1.03 + x) = 6.22 + -4(x + -2) 6.14x + (1.03 * -2 + x * -2) = 6.22 + -4(x + -2) 6.14x + (-2.06 + -2x) = 6.22 + -4(x + -2) Reorder the terms: -2.06 + 6.14x + -2x = 6.22 + -4(x + -2) Combine like terms: 6.14x + -2x = 4.14x -2.06 + 4.14x = 6.22 + -4(x + -2) Reorder the terms: -2.06 + 4.14x = 6.22 + -4(-2 + x) -2.06 + 4.14x = 6.22 + (-2 * -4 + x * -4) -2.06 + 4.14x = 6.22 + (8 + -4x) Combine like terms: 6.22 + 8 = 14.22 -2.06 + 4.14x = 14.22 + -4x Solving -2.06 + 4.14x = 14.22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2.06 + 4.14x + 4x = 14.22 + -4x + 4x Combine like terms: 4.14x + 4x = 8.14x -2.06 + 8.14x = 14.22 + -4x + 4x Combine like terms: -4x + 4x = 0 -2.06 + 8.14x = 14.22 + 0 -2.06 + 8.14x = 14.22 Add '2.06' to each side of the equation. -2.06 + 2.06 + 8.14x = 14.22 + 2.06 Combine like terms: -2.06 + 2.06 = 0.00 0.00 + 8.14x = 14.22 + 2.06 8.14x = 14.22 + 2.06 Combine like terms: 14.22 + 2.06 = 16.28 8.14x = 16.28 Divide each side by '8.14'. x = 2 Simplifying x = 2
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