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Simplifying -36.838 + 10x = -2.3(-5.6x + 6.5) Reorder the terms: -36.838 + 10x = -2.3(6.5 + -5.6x) -36.838 + 10x = (6.5 * -2.3 + -5.6x * -2.3) -36.838 + 10x = (-14.95 + 12.88x) Solving -36.838 + 10x = -14.95 + 12.88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.88x' to each side of the equation. -36.838 + 10x + -12.88x = -14.95 + 12.88x + -12.88x Combine like terms: 10x + -12.88x = -2.88x -36.838 + -2.88x = -14.95 + 12.88x + -12.88x Combine like terms: 12.88x + -12.88x = 0.00 -36.838 + -2.88x = -14.95 + 0.00 -36.838 + -2.88x = -14.95 Add '36.838' to each side of the equation. -36.838 + 36.838 + -2.88x = -14.95 + 36.838 Combine like terms: -36.838 + 36.838 = 0.000 0.000 + -2.88x = -14.95 + 36.838 -2.88x = -14.95 + 36.838 Combine like terms: -14.95 + 36.838 = 21.888 -2.88x = 21.888 Divide each side by '-2.88'. x = -7.6 Simplifying x = -7.6
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