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Simplifying 1650 = 18(0.7x) + 12(0.2x) + 0(0.1x) Remove parenthesis around (0.7x) 1650 = 18 * 0.7x + 12(0.2x) + 0(0.1x) Multiply 18 * 0.7 1650 = 12.6x + 12(0.2x) + 0(0.1x) Remove parenthesis around (0.2x) 1650 = 12.6x + 12 * 0.2x + 0(0.1x) Multiply 12 * 0.2 1650 = 12.6x + 2.4x + 0(0.1x) Remove parenthesis around (0.1x) 1650 = 12.6x + 2.4x + 0 * 0.1x Multiply 0 * 0.1 1650 = 12.6x + 2.4x + 0.0x Anything times zero is zero. 1650 = 12.6x + 2.4x + 0.0x Reorder the terms: 1650 = 0.0 + 12.6x + 2.4x Remove the zero: 1650 = 12.6x + 2.4x Combine like terms: 12.6x + 2.4x = 15x 1650 = 15x Solving 1650 = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1650 + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 1650 + -15x = 0 Add '-1650' to each side of the equation. 1650 + -1650 + -15x = 0 + -1650 Combine like terms: 1650 + -1650 = 0 0 + -15x = 0 + -1650 -15x = 0 + -1650 Combine like terms: 0 + -1650 = -1650 -15x = -1650 Divide each side by '-15'. x = 110 Simplifying x = 110
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