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Simplifying 1080 = 14(0.6x) + 12(0.3x) + 0(0.1x) Remove parenthesis around (0.6x) 1080 = 14 * 0.6x + 12(0.3x) + 0(0.1x) Multiply 14 * 0.6 1080 = 8.4x + 12(0.3x) + 0(0.1x) Remove parenthesis around (0.3x) 1080 = 8.4x + 12 * 0.3x + 0(0.1x) Multiply 12 * 0.3 1080 = 8.4x + 3.6x + 0(0.1x) Remove parenthesis around (0.1x) 1080 = 8.4x + 3.6x + 0 * 0.1x Multiply 0 * 0.1 1080 = 8.4x + 3.6x + 0.0x Anything times zero is zero. 1080 = 8.4x + 3.6x + 0.0x Reorder the terms: 1080 = 0.0 + 8.4x + 3.6x Remove the zero: 1080 = 8.4x + 3.6x Combine like terms: 8.4x + 3.6x = 12x 1080 = 12x Solving 1080 = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1080 + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 1080 + -12x = 0 Add '-1080' to each side of the equation. 1080 + -1080 + -12x = 0 + -1080 Combine like terms: 1080 + -1080 = 0 0 + -12x = 0 + -1080 -12x = 0 + -1080 Combine like terms: 0 + -1080 = -1080 -12x = -1080 Divide each side by '-12'. x = 90 Simplifying x = 90
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