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Simplifying 102 = 4(21) + 9(0) + 4(x) Multiply 4 * 21 102 = 84 + 9(0) + 4(x) Multiply 9 * 0 102 = 84 + 0 + 4(x) Anything times zero is zero. 102 = 84 + 0 + 4(x) Combine like terms: 84 + 0 = 84 102 = 84 + 4x Solving 102 = 84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 102 + -4x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 102 + -4x = 84 + 0 102 + -4x = 84 Add '-102' to each side of the equation. 102 + -102 + -4x = 84 + -102 Combine like terms: 102 + -102 = 0 0 + -4x = 84 + -102 -4x = 84 + -102 Combine like terms: 84 + -102 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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