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Simplifying 0.3(21x + -12) + -1(x + 7) = 0 Reorder the terms: 0.3(-12 + 21x) + -1(x + 7) = 0 (-12 * 0.3 + 21x * 0.3) + -1(x + 7) = 0 (-3.6 + 6.3x) + -1(x + 7) = 0 Reorder the terms: -3.6 + 6.3x + -1(7 + x) = 0 -3.6 + 6.3x + (7 * -1 + x * -1) = 0 -3.6 + 6.3x + (-7 + -1x) = 0 Reorder the terms: -3.6 + -7 + 6.3x + -1x = 0 Combine like terms: -3.6 + -7 = -10.6 -10.6 + 6.3x + -1x = 0 Combine like terms: 6.3x + -1x = 5.3x -10.6 + 5.3x = 0 Solving -10.6 + 5.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.6' to each side of the equation. -10.6 + 10.6 + 5.3x = 0 + 10.6 Combine like terms: -10.6 + 10.6 = 0.0 0.0 + 5.3x = 0 + 10.6 5.3x = 0 + 10.6 Combine like terms: 0 + 10.6 = 10.6 5.3x = 10.6 Divide each side by '5.3'. x = 2 Simplifying x = 2
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