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Simplifying 0.07(9x + -11) = 2.9 + -1(-4x + 6) Reorder the terms: 0.07(-11 + 9x) = 2.9 + -1(-4x + 6) (-11 * 0.07 + 9x * 0.07) = 2.9 + -1(-4x + 6) (-0.77 + 0.63x) = 2.9 + -1(-4x + 6) Reorder the terms: -0.77 + 0.63x = 2.9 + -1(6 + -4x) -0.77 + 0.63x = 2.9 + (6 * -1 + -4x * -1) -0.77 + 0.63x = 2.9 + (-6 + 4x) Combine like terms: 2.9 + -6 = -3.1 -0.77 + 0.63x = -3.1 + 4x Solving -0.77 + 0.63x = -3.1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -0.77 + 0.63x + -4x = -3.1 + 4x + -4x Combine like terms: 0.63x + -4x = -3.37x -0.77 + -3.37x = -3.1 + 4x + -4x Combine like terms: 4x + -4x = 0 -0.77 + -3.37x = -3.1 + 0 -0.77 + -3.37x = -3.1 Add '0.77' to each side of the equation. -0.77 + 0.77 + -3.37x = -3.1 + 0.77 Combine like terms: -0.77 + 0.77 = 0.00 0.00 + -3.37x = -3.1 + 0.77 -3.37x = -3.1 + 0.77 Combine like terms: -3.1 + 0.77 = -2.33 -3.37x = -2.33 Divide each side by '-3.37'. x = 0.6913946588 Simplifying x = 0.6913946588
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