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Simplifying 8x + 19 = 23(x + -82) Reorder the terms: 19 + 8x = 23(x + -82) Reorder the terms: 19 + 8x = 23(-82 + x) 19 + 8x = (-82 * 23 + x * 23) 19 + 8x = (-1886 + 23x) Solving 19 + 8x = -1886 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 19 + 8x + -23x = -1886 + 23x + -23x Combine like terms: 8x + -23x = -15x 19 + -15x = -1886 + 23x + -23x Combine like terms: 23x + -23x = 0 19 + -15x = -1886 + 0 19 + -15x = -1886 Add '-19' to each side of the equation. 19 + -19 + -15x = -1886 + -19 Combine like terms: 19 + -19 = 0 0 + -15x = -1886 + -19 -15x = -1886 + -19 Combine like terms: -1886 + -19 = -1905 -15x = -1905 Divide each side by '-15'. x = 127 Simplifying x = 127
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