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Simplifying 0.19 + -0.03(x + 1) = -0.04(3 + -1x) Reorder the terms: 0.19 + -0.03(1 + x) = -0.04(3 + -1x) 0.19 + (1 * -0.03 + x * -0.03) = -0.04(3 + -1x) 0.19 + (-0.03 + -0.03x) = -0.04(3 + -1x) Combine like terms: 0.19 + -0.03 = 0.16 0.16 + -0.03x = -0.04(3 + -1x) 0.16 + -0.03x = (3 * -0.04 + -1x * -0.04) 0.16 + -0.03x = (-0.12 + 0.04x) Solving 0.16 + -0.03x = -0.12 + 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. 0.16 + -0.03x + -0.04x = -0.12 + 0.04x + -0.04x Combine like terms: -0.03x + -0.04x = -0.07x 0.16 + -0.07x = -0.12 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.16 + -0.07x = -0.12 + 0.00 0.16 + -0.07x = -0.12 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -0.07x = -0.12 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.07x = -0.12 + -0.16 -0.07x = -0.12 + -0.16 Combine like terms: -0.12 + -0.16 = -0.28 -0.07x = -0.28 Divide each side by '-0.07'. x = 4 Simplifying x = 4
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