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Simplifying -0.16 + -0.01(x + 3) = -0.03(1 + -1x) Reorder the terms: -0.16 + -0.01(3 + x) = -0.03(1 + -1x) -0.16 + (3 * -0.01 + x * -0.01) = -0.03(1 + -1x) -0.16 + (-0.03 + -0.01x) = -0.03(1 + -1x) Combine like terms: -0.16 + -0.03 = -0.19 -0.19 + -0.01x = -0.03(1 + -1x) -0.19 + -0.01x = (1 * -0.03 + -1x * -0.03) -0.19 + -0.01x = (-0.03 + 0.03x) Solving -0.19 + -0.01x = -0.03 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.19 + -0.01x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: -0.01x + -0.03x = -0.04x -0.19 + -0.04x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.19 + -0.04x = -0.03 + 0.00 -0.19 + -0.04x = -0.03 Add '0.19' to each side of the equation. -0.19 + 0.19 + -0.04x = -0.03 + 0.19 Combine like terms: -0.19 + 0.19 = 0.00 0.00 + -0.04x = -0.03 + 0.19 -0.04x = -0.03 + 0.19 Combine like terms: -0.03 + 0.19 = 0.16 -0.04x = 0.16 Divide each side by '-0.04'. x = -4 Simplifying x = -4
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