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Simplifying 36(51 + -6.5x) = 15(6x + -9) + 59.4 (51 * 36 + -6.5x * 36) = 15(6x + -9) + 59.4 (1836 + -234x) = 15(6x + -9) + 59.4 Reorder the terms: 1836 + -234x = 15(-9 + 6x) + 59.4 1836 + -234x = (-9 * 15 + 6x * 15) + 59.4 1836 + -234x = (-135 + 90x) + 59.4 Reorder the terms: 1836 + -234x = -135 + 59.4 + 90x Combine like terms: -135 + 59.4 = -75.6 1836 + -234x = -75.6 + 90x Solving 1836 + -234x = -75.6 + 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. 1836 + -234x + -90x = -75.6 + 90x + -90x Combine like terms: -234x + -90x = -324x 1836 + -324x = -75.6 + 90x + -90x Combine like terms: 90x + -90x = 0 1836 + -324x = -75.6 + 0 1836 + -324x = -75.6 Add '-1836' to each side of the equation. 1836 + -1836 + -324x = -75.6 + -1836 Combine like terms: 1836 + -1836 = 0 0 + -324x = -75.6 + -1836 -324x = -75.6 + -1836 Combine like terms: -75.6 + -1836 = -1911.6 -324x = -1911.6 Divide each side by '-324'. x = 5.9 Simplifying x = 5.9
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