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Simplifying 36(31 + -3.5x) = 16(3x + -8) + 60.8 (31 * 36 + -3.5x * 36) = 16(3x + -8) + 60.8 (1116 + -126x) = 16(3x + -8) + 60.8 Reorder the terms: 1116 + -126x = 16(-8 + 3x) + 60.8 1116 + -126x = (-8 * 16 + 3x * 16) + 60.8 1116 + -126x = (-128 + 48x) + 60.8 Reorder the terms: 1116 + -126x = -128 + 60.8 + 48x Combine like terms: -128 + 60.8 = -67.2 1116 + -126x = -67.2 + 48x Solving 1116 + -126x = -67.2 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 1116 + -126x + -48x = -67.2 + 48x + -48x Combine like terms: -126x + -48x = -174x 1116 + -174x = -67.2 + 48x + -48x Combine like terms: 48x + -48x = 0 1116 + -174x = -67.2 + 0 1116 + -174x = -67.2 Add '-1116' to each side of the equation. 1116 + -1116 + -174x = -67.2 + -1116 Combine like terms: 1116 + -1116 = 0 0 + -174x = -67.2 + -1116 -174x = -67.2 + -1116 Combine like terms: -67.2 + -1116 = -1183.2 -174x = -1183.2 Divide each side by '-174'. x = 6.8 Simplifying x = 6.8
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