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Simplifying 5.4 + -3.4(x + 2.6) = 7 + -5(x + 1) Reorder the terms: 5.4 + -3.4(2.6 + x) = 7 + -5(x + 1) 5.4 + (2.6 * -3.4 + x * -3.4) = 7 + -5(x + 1) 5.4 + (-8.84 + -3.4x) = 7 + -5(x + 1) Combine like terms: 5.4 + -8.84 = -3.44 -3.44 + -3.4x = 7 + -5(x + 1) Reorder the terms: -3.44 + -3.4x = 7 + -5(1 + x) -3.44 + -3.4x = 7 + (1 * -5 + x * -5) -3.44 + -3.4x = 7 + (-5 + -5x) Combine like terms: 7 + -5 = 2 -3.44 + -3.4x = 2 + -5x Solving -3.44 + -3.4x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3.44 + -3.4x + 5x = 2 + -5x + 5x Combine like terms: -3.4x + 5x = 1.6x -3.44 + 1.6x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -3.44 + 1.6x = 2 + 0 -3.44 + 1.6x = 2 Add '3.44' to each side of the equation. -3.44 + 3.44 + 1.6x = 2 + 3.44 Combine like terms: -3.44 + 3.44 = 0.00 0.00 + 1.6x = 2 + 3.44 1.6x = 2 + 3.44 Combine like terms: 2 + 3.44 = 5.44 1.6x = 5.44 Divide each side by '1.6'. x = 3.4 Simplifying x = 3.4
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