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Simplifying 1x + 2(x + 19) + 3(34 + -2x) = 98 Reorder the terms: 1x + 2(19 + x) + 3(34 + -2x) = 98 1x + (19 * 2 + x * 2) + 3(34 + -2x) = 98 1x + (38 + 2x) + 3(34 + -2x) = 98 1x + 38 + 2x + (34 * 3 + -2x * 3) = 98 1x + 38 + 2x + (102 + -6x) = 98 Reorder the terms: 38 + 102 + 1x + 2x + -6x = 98 Combine like terms: 38 + 102 = 140 140 + 1x + 2x + -6x = 98 Combine like terms: 1x + 2x = 3x 140 + 3x + -6x = 98 Combine like terms: 3x + -6x = -3x 140 + -3x = 98 Solving 140 + -3x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -3x = 98 + -140 Combine like terms: 140 + -140 = 0 0 + -3x = 98 + -140 -3x = 98 + -140 Combine like terms: 98 + -140 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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