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Simplifying -0.6 + -0.7(x + 0.9) = -11.15 + 2.4x Reorder the terms: -0.6 + -0.7(0.9 + x) = -11.15 + 2.4x -0.6 + (0.9 * -0.7 + x * -0.7) = -11.15 + 2.4x -0.6 + (-0.63 + -0.7x) = -11.15 + 2.4x Combine like terms: -0.6 + -0.63 = -1.23 -1.23 + -0.7x = -11.15 + 2.4x Solving -1.23 + -0.7x = -11.15 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -1.23 + -0.7x + -2.4x = -11.15 + 2.4x + -2.4x Combine like terms: -0.7x + -2.4x = -3.1x -1.23 + -3.1x = -11.15 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -1.23 + -3.1x = -11.15 + 0.0 -1.23 + -3.1x = -11.15 Add '1.23' to each side of the equation. -1.23 + 1.23 + -3.1x = -11.15 + 1.23 Combine like terms: -1.23 + 1.23 = 0.00 0.00 + -3.1x = -11.15 + 1.23 -3.1x = -11.15 + 1.23 Combine like terms: -11.15 + 1.23 = -9.92 -3.1x = -9.92 Divide each side by '-3.1'. x = 3.2 Simplifying x = 3.2
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