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Simplifying 8(x + -3) + -5 = 23x + -89 Reorder the terms: 8(-3 + x) + -5 = 23x + -89 (-3 * 8 + x * 8) + -5 = 23x + -89 (-24 + 8x) + -5 = 23x + -89 Reorder the terms: -24 + -5 + 8x = 23x + -89 Combine like terms: -24 + -5 = -29 -29 + 8x = 23x + -89 Reorder the terms: -29 + 8x = -89 + 23x Solving -29 + 8x = -89 + 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. -29 + 8x + -23x = -89 + 23x + -23x Combine like terms: 8x + -23x = -15x -29 + -15x = -89 + 23x + -23x Combine like terms: 23x + -23x = 0 -29 + -15x = -89 + 0 -29 + -15x = -89 Add '29' to each side of the equation. -29 + 29 + -15x = -89 + 29 Combine like terms: -29 + 29 = 0 0 + -15x = -89 + 29 -15x = -89 + 29 Combine like terms: -89 + 29 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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