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Simplifying x + (x + 2) = 38(x + 4) + 8 Reorder the terms: x + (2 + x) = 38(x + 4) + 8 Remove parenthesis around (2 + x) x + 2 + x = 38(x + 4) + 8 Reorder the terms: 2 + x + x = 38(x + 4) + 8 Combine like terms: x + x = 2x 2 + 2x = 38(x + 4) + 8 Reorder the terms: 2 + 2x = 38(4 + x) + 8 2 + 2x = (4 * 38 + x * 38) + 8 2 + 2x = (152 + 38x) + 8 Reorder the terms: 2 + 2x = 152 + 8 + 38x Combine like terms: 152 + 8 = 160 2 + 2x = 160 + 38x Solving 2 + 2x = 160 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 2 + 2x + -38x = 160 + 38x + -38x Combine like terms: 2x + -38x = -36x 2 + -36x = 160 + 38x + -38x Combine like terms: 38x + -38x = 0 2 + -36x = 160 + 0 2 + -36x = 160 Add '-2' to each side of the equation. 2 + -2 + -36x = 160 + -2 Combine like terms: 2 + -2 = 0 0 + -36x = 160 + -2 -36x = 160 + -2 Combine like terms: 160 + -2 = 158 -36x = 158 Divide each side by '-36'. x = -4.388888889 Simplifying x = -4.388888889
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