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Simplifying 36(30 + -3.5x) = 16(3x + -7) + 26.2 (30 * 36 + -3.5x * 36) = 16(3x + -7) + 26.2 (1080 + -126x) = 16(3x + -7) + 26.2 Reorder the terms: 1080 + -126x = 16(-7 + 3x) + 26.2 1080 + -126x = (-7 * 16 + 3x * 16) + 26.2 1080 + -126x = (-112 + 48x) + 26.2 Reorder the terms: 1080 + -126x = -112 + 26.2 + 48x Combine like terms: -112 + 26.2 = -85.8 1080 + -126x = -85.8 + 48x Solving 1080 + -126x = -85.8 + 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. 1080 + -126x + -48x = -85.8 + 48x + -48x Combine like terms: -126x + -48x = -174x 1080 + -174x = -85.8 + 48x + -48x Combine like terms: 48x + -48x = 0 1080 + -174x = -85.8 + 0 1080 + -174x = -85.8 Add '-1080' to each side of the equation. 1080 + -1080 + -174x = -85.8 + -1080 Combine like terms: 1080 + -1080 = 0 0 + -174x = -85.8 + -1080 -174x = -85.8 + -1080 Combine like terms: -85.8 + -1080 = -1165.8 -174x = -1165.8 Divide each side by '-174'. x = 6.7 Simplifying x = 6.7
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