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Simplifying 19 + -1x + 13 = 2(x + 13) Reorder the terms: 19 + 13 + -1x = 2(x + 13) Combine like terms: 19 + 13 = 32 32 + -1x = 2(x + 13) Reorder the terms: 32 + -1x = 2(13 + x) 32 + -1x = (13 * 2 + x * 2) 32 + -1x = (26 + 2x) Solving 32 + -1x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + -1x + -2x = 26 + 2x + -2x Combine like terms: -1x + -2x = -3x 32 + -3x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -3x = 26 + 0 32 + -3x = 26 Add '-32' to each side of the equation. 32 + -32 + -3x = 26 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 26 + -32 -3x = 26 + -32 Combine like terms: 26 + -32 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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