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Simplifying 23x + 37 = 4x + 40 + -4(3x + 2) Reorder the terms: 37 + 23x = 4x + 40 + -4(3x + 2) Reorder the terms: 37 + 23x = 4x + 40 + -4(2 + 3x) 37 + 23x = 4x + 40 + (2 * -4 + 3x * -4) 37 + 23x = 4x + 40 + (-8 + -12x) Reorder the terms: 37 + 23x = 40 + -8 + 4x + -12x Combine like terms: 40 + -8 = 32 37 + 23x = 32 + 4x + -12x Combine like terms: 4x + -12x = -8x 37 + 23x = 32 + -8x Solving 37 + 23x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 37 + 23x + 8x = 32 + -8x + 8x Combine like terms: 23x + 8x = 31x 37 + 31x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 37 + 31x = 32 + 0 37 + 31x = 32 Add '-37' to each side of the equation. 37 + -37 + 31x = 32 + -37 Combine like terms: 37 + -37 = 0 0 + 31x = 32 + -37 31x = 32 + -37 Combine like terms: 32 + -37 = -5 31x = -5 Divide each side by '31'. x = -0.1612903226 Simplifying x = -0.1612903226
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