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Simplifying -10.068 + 5.2x = 6.1(2.1x + -1.9) Reorder the terms: -10.068 + 5.2x = 6.1(-1.9 + 2.1x) -10.068 + 5.2x = (-1.9 * 6.1 + 2.1x * 6.1) -10.068 + 5.2x = (-11.59 + 12.81x) Solving -10.068 + 5.2x = -11.59 + 12.81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.81x' to each side of the equation. -10.068 + 5.2x + -12.81x = -11.59 + 12.81x + -12.81x Combine like terms: 5.2x + -12.81x = -7.61x -10.068 + -7.61x = -11.59 + 12.81x + -12.81x Combine like terms: 12.81x + -12.81x = 0.00 -10.068 + -7.61x = -11.59 + 0.00 -10.068 + -7.61x = -11.59 Add '10.068' to each side of the equation. -10.068 + 10.068 + -7.61x = -11.59 + 10.068 Combine like terms: -10.068 + 10.068 = 0.000 0.000 + -7.61x = -11.59 + 10.068 -7.61x = -11.59 + 10.068 Combine like terms: -11.59 + 10.068 = -1.522 -7.61x = -1.522 Divide each side by '-7.61'. x = 0.2 Simplifying x = 0.2
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