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Simplifying 0.3(3x + -7) = 2(3x + -6) Reorder the terms: 0.3(-7 + 3x) = 2(3x + -6) (-7 * 0.3 + 3x * 0.3) = 2(3x + -6) (-2.1 + 0.9x) = 2(3x + -6) Reorder the terms: -2.1 + 0.9x = 2(-6 + 3x) -2.1 + 0.9x = (-6 * 2 + 3x * 2) -2.1 + 0.9x = (-12 + 6x) Solving -2.1 + 0.9x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2.1 + 0.9x + -6x = -12 + 6x + -6x Combine like terms: 0.9x + -6x = -5.1x -2.1 + -5.1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2.1 + -5.1x = -12 + 0 -2.1 + -5.1x = -12 Add '2.1' to each side of the equation. -2.1 + 2.1 + -5.1x = -12 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + -5.1x = -12 + 2.1 -5.1x = -12 + 2.1 Combine like terms: -12 + 2.1 = -9.9 -5.1x = -9.9 Divide each side by '-5.1'. x = 1.941176471 Simplifying x = 1.941176471
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