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Simplifying -0.7(1.15 + 7x) = -4.6x (1.15 * -0.7 + 7x * -0.7) = -4.6x (-0.805 + -4.9x) = -4.6x Solving -0.805 + -4.9x = -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. -0.805 + -4.9x + 4.6x = -4.6x + 4.6x Combine like terms: -4.9x + 4.6x = -0.3x -0.805 + -0.3x = -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -0.805 + -0.3x = 0.0 Add '0.805' to each side of the equation. -0.805 + 0.805 + -0.3x = 0.0 + 0.805 Combine like terms: -0.805 + 0.805 = 0.000 0.000 + -0.3x = 0.0 + 0.805 -0.3x = 0.0 + 0.805 Combine like terms: 0.0 + 0.805 = 0.805 -0.3x = 0.805 Divide each side by '-0.3'. x = -2.683333333 Simplifying x = -2.683333333
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