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Simplifying 36(19 + -6.5x) = 11(6x + -7) + 11.0 (19 * 36 + -6.5x * 36) = 11(6x + -7) + 11.0 (684 + -234x) = 11(6x + -7) + 11.0 Reorder the terms: 684 + -234x = 11(-7 + 6x) + 11.0 684 + -234x = (-7 * 11 + 6x * 11) + 11.0 684 + -234x = (-77 + 66x) + 11.0 Reorder the terms: 684 + -234x = -77 + 11.0 + 66x Combine like terms: -77 + 11.0 = -66 684 + -234x = -66 + 66x Solving 684 + -234x = -66 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 684 + -234x + -66x = -66 + 66x + -66x Combine like terms: -234x + -66x = -300x 684 + -300x = -66 + 66x + -66x Combine like terms: 66x + -66x = 0 684 + -300x = -66 + 0 684 + -300x = -66 Add '-684' to each side of the equation. 684 + -684 + -300x = -66 + -684 Combine like terms: 684 + -684 = 0 0 + -300x = -66 + -684 -300x = -66 + -684 Combine like terms: -66 + -684 = -750 -300x = -750 Divide each side by '-300'. x = 2.5 Simplifying x = 2.5
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