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Simplifying 10.6 + -2.6(x + 2.4) = 11 + -3(x + -2) Reorder the terms: 10.6 + -2.6(2.4 + x) = 11 + -3(x + -2) 10.6 + (2.4 * -2.6 + x * -2.6) = 11 + -3(x + -2) 10.6 + (-6.24 + -2.6x) = 11 + -3(x + -2) Combine like terms: 10.6 + -6.24 = 4.36 4.36 + -2.6x = 11 + -3(x + -2) Reorder the terms: 4.36 + -2.6x = 11 + -3(-2 + x) 4.36 + -2.6x = 11 + (-2 * -3 + x * -3) 4.36 + -2.6x = 11 + (6 + -3x) Combine like terms: 11 + 6 = 17 4.36 + -2.6x = 17 + -3x Solving 4.36 + -2.6x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4.36 + -2.6x + 3x = 17 + -3x + 3x Combine like terms: -2.6x + 3x = 0.4x 4.36 + 0.4x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 4.36 + 0.4x = 17 + 0 4.36 + 0.4x = 17 Add '-4.36' to each side of the equation. 4.36 + -4.36 + 0.4x = 17 + -4.36 Combine like terms: 4.36 + -4.36 = 0.00 0.00 + 0.4x = 17 + -4.36 0.4x = 17 + -4.36 Combine like terms: 17 + -4.36 = 12.64 0.4x = 12.64 Divide each side by '0.4'. x = 31.6 Simplifying x = 31.6
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