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Simplifying 4(x + 7) = (37)(3x + -2) Reorder the terms: 4(7 + x) = (37)(3x + -2) (7 * 4 + x * 4) = (37)(3x + -2) (28 + 4x) = (37)(3x + -2) Reorder the terms: 28 + 4x = 37(-2 + 3x) 28 + 4x = (-2 * 37 + 3x * 37) 28 + 4x = (-74 + 111x) Solving 28 + 4x = -74 + 111x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-111x' to each side of the equation. 28 + 4x + -111x = -74 + 111x + -111x Combine like terms: 4x + -111x = -107x 28 + -107x = -74 + 111x + -111x Combine like terms: 111x + -111x = 0 28 + -107x = -74 + 0 28 + -107x = -74 Add '-28' to each side of the equation. 28 + -28 + -107x = -74 + -28 Combine like terms: 28 + -28 = 0 0 + -107x = -74 + -28 -107x = -74 + -28 Combine like terms: -74 + -28 = -102 -107x = -102 Divide each side by '-107'. x = 0.953271028 Simplifying x = 0.953271028
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