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Simplifying -0.9x + 7 = -4.3(-0.9x + 7) + -6 Reorder the terms: 7 + -0.9x = -4.3(-0.9x + 7) + -6 Reorder the terms: 7 + -0.9x = -4.3(7 + -0.9x) + -6 7 + -0.9x = (7 * -4.3 + -0.9x * -4.3) + -6 7 + -0.9x = (-30.1 + 3.87x) + -6 Reorder the terms: 7 + -0.9x = -30.1 + -6 + 3.87x Combine like terms: -30.1 + -6 = -36.1 7 + -0.9x = -36.1 + 3.87x Solving 7 + -0.9x = -36.1 + 3.87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.87x' to each side of the equation. 7 + -0.9x + -3.87x = -36.1 + 3.87x + -3.87x Combine like terms: -0.9x + -3.87x = -4.77x 7 + -4.77x = -36.1 + 3.87x + -3.87x Combine like terms: 3.87x + -3.87x = 0.00 7 + -4.77x = -36.1 + 0.00 7 + -4.77x = -36.1 Add '-7' to each side of the equation. 7 + -7 + -4.77x = -36.1 + -7 Combine like terms: 7 + -7 = 0 0 + -4.77x = -36.1 + -7 -4.77x = -36.1 + -7 Combine like terms: -36.1 + -7 = -43.1 -4.77x = -43.1 Divide each side by '-4.77'. x = 9.035639413 Simplifying x = 9.035639413
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