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Simplifying 5.4(3x + -12) + 3.2(2x + 6) = -136 Reorder the terms: 5.4(-12 + 3x) + 3.2(2x + 6) = -136 (-12 * 5.4 + 3x * 5.4) + 3.2(2x + 6) = -136 (-64.8 + 16.2x) + 3.2(2x + 6) = -136 Reorder the terms: -64.8 + 16.2x + 3.2(6 + 2x) = -136 -64.8 + 16.2x + (6 * 3.2 + 2x * 3.2) = -136 -64.8 + 16.2x + (19.2 + 6.4x) = -136 Reorder the terms: -64.8 + 19.2 + 16.2x + 6.4x = -136 Combine like terms: -64.8 + 19.2 = -45.6 -45.6 + 16.2x + 6.4x = -136 Combine like terms: 16.2x + 6.4x = 22.6x -45.6 + 22.6x = -136 Solving -45.6 + 22.6x = -136 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45.6' to each side of the equation. -45.6 + 45.6 + 22.6x = -136 + 45.6 Combine like terms: -45.6 + 45.6 = 0.0 0.0 + 22.6x = -136 + 45.6 22.6x = -136 + 45.6 Combine like terms: -136 + 45.6 = -90.4 22.6x = -90.4 Divide each side by '22.6'. x = -4 Simplifying x = -4
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