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Simplifying 3(0.06x + 7) = 4(0.01x + -0.31) + 0.12 Reorder the terms: 3(7 + 0.06x) = 4(0.01x + -0.31) + 0.12 (7 * 3 + 0.06x * 3) = 4(0.01x + -0.31) + 0.12 (21 + 0.18x) = 4(0.01x + -0.31) + 0.12 Reorder the terms: 21 + 0.18x = 4(-0.31 + 0.01x) + 0.12 21 + 0.18x = (-0.31 * 4 + 0.01x * 4) + 0.12 21 + 0.18x = (-1.24 + 0.04x) + 0.12 Reorder the terms: 21 + 0.18x = -1.24 + 0.12 + 0.04x Combine like terms: -1.24 + 0.12 = -1.12 21 + 0.18x = -1.12 + 0.04x Solving 21 + 0.18x = -1.12 + 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. 21 + 0.18x + -0.04x = -1.12 + 0.04x + -0.04x Combine like terms: 0.18x + -0.04x = 0.14x 21 + 0.14x = -1.12 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 21 + 0.14x = -1.12 + 0.00 21 + 0.14x = -1.12 Add '-21' to each side of the equation. 21 + -21 + 0.14x = -1.12 + -21 Combine like terms: 21 + -21 = 0 0 + 0.14x = -1.12 + -21 0.14x = -1.12 + -21 Combine like terms: -1.12 + -21 = -22.12 0.14x = -22.12 Divide each side by '0.14'. x = -158 Simplifying x = -158
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