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Simplifying 36(27 + -6.5x) = 15(6x + -7) + 40.2 (27 * 36 + -6.5x * 36) = 15(6x + -7) + 40.2 (972 + -234x) = 15(6x + -7) + 40.2 Reorder the terms: 972 + -234x = 15(-7 + 6x) + 40.2 972 + -234x = (-7 * 15 + 6x * 15) + 40.2 972 + -234x = (-105 + 90x) + 40.2 Reorder the terms: 972 + -234x = -105 + 40.2 + 90x Combine like terms: -105 + 40.2 = -64.8 972 + -234x = -64.8 + 90x Solving 972 + -234x = -64.8 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 972 + -234x + -90x = -64.8 + 90x + -90x Combine like terms: -234x + -90x = -324x 972 + -324x = -64.8 + 90x + -90x Combine like terms: 90x + -90x = 0 972 + -324x = -64.8 + 0 972 + -324x = -64.8 Add '-972' to each side of the equation. 972 + -972 + -324x = -64.8 + -972 Combine like terms: 972 + -972 = 0 0 + -324x = -64.8 + -972 -324x = -64.8 + -972 Combine like terms: -64.8 + -972 = -1036.8 -324x = -1036.8 Divide each side by '-324'. x = 3.2 Simplifying x = 3.2
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