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Simplifying 0.33(6x + -12) + -2(x + -7) = 19 Reorder the terms: 0.33(-12 + 6x) + -2(x + -7) = 19 (-12 * 0.33 + 6x * 0.33) + -2(x + -7) = 19 (-3.96 + 1.98x) + -2(x + -7) = 19 Reorder the terms: -3.96 + 1.98x + -2(-7 + x) = 19 -3.96 + 1.98x + (-7 * -2 + x * -2) = 19 -3.96 + 1.98x + (14 + -2x) = 19 Reorder the terms: -3.96 + 14 + 1.98x + -2x = 19 Combine like terms: -3.96 + 14 = 10.04 10.04 + 1.98x + -2x = 19 Combine like terms: 1.98x + -2x = -0.02x 10.04 + -0.02x = 19 Solving 10.04 + -0.02x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.04' to each side of the equation. 10.04 + -10.04 + -0.02x = 19 + -10.04 Combine like terms: 10.04 + -10.04 = 0.00 0.00 + -0.02x = 19 + -10.04 -0.02x = 19 + -10.04 Combine like terms: 19 + -10.04 = 8.96 -0.02x = 8.96 Divide each side by '-0.02'. x = -448 Simplifying x = -448
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