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Simplifying 0.026 + -0.03(x + 3) = -0.04(1 + -1x) Reorder the terms: 0.026 + -0.03(3 + x) = -0.04(1 + -1x) 0.026 + (3 * -0.03 + x * -0.03) = -0.04(1 + -1x) 0.026 + (-0.09 + -0.03x) = -0.04(1 + -1x) Combine like terms: 0.026 + -0.09 = -0.064 -0.064 + -0.03x = -0.04(1 + -1x) -0.064 + -0.03x = (1 * -0.04 + -1x * -0.04) -0.064 + -0.03x = (-0.04 + 0.04x) Solving -0.064 + -0.03x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.064 + -0.03x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: -0.03x + -0.04x = -0.07x -0.064 + -0.07x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.064 + -0.07x = -0.04 + 0.00 -0.064 + -0.07x = -0.04 Add '0.064' to each side of the equation. -0.064 + 0.064 + -0.07x = -0.04 + 0.064 Combine like terms: -0.064 + 0.064 = 0.000 0.000 + -0.07x = -0.04 + 0.064 -0.07x = -0.04 + 0.064 Combine like terms: -0.04 + 0.064 = 0.024 -0.07x = 0.024 Divide each side by '-0.07'. x = -0.3428571429 Simplifying x = -0.3428571429
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